5

~12 points LCalcCons 3.3.009.the palr of functions write the composite function and its derivative In terms of one Input variable; c(*) 4x2 7; *(t) 2 - 3tc(x(t))Ne...

Question

~12 points LCalcCons 3.3.009.the palr of functions write the composite function and its derivative In terms of one Input variable; c(*) 4x2 7; *(t) 2 - 3tc(x(t))Need Help?RiaunMT

~12 points LCalcCons 3.3.009. the palr of functions write the composite function and its derivative In terms of one Input variable; c(*) 4x2 7; *(t) 2 - 3t c(x(t)) Need Help? Riaun MT



Answers

a. Use the Product Rule to find the derivative of the given function. Simplify your result. b. Find the derivative by expanding the product first. Verify that your answer agrees with part $(a)$ $$y=\left(t^{2}+7 t\right)(3 t-4)$$

Welcome to New Madrid. In the current problem we are given If I is equal to two who beat you -5 T sq and at the point P is equals to something is is equals to something. So that is minus one. My necessity. Okay so at this point we have to evaluate, we are given the point minus one common minus from that we understand. Uh So in this case we are given this expression we have to find the S. D. T. So that would be D. D. D. D. T. Of to take you minus bye a square which is to into D. D. T. Of take you minus five D. Did he of t respect? I see this should be too. So this would be to into three p square minus five into two times two Which is six p square minus didn't gee. Therefore if we substitute game is the tv At T equals 2 -1, we will have six into -1 whole square minus Turn into -1. It is six into 1 minus minus plus 10 into one, consistent, so we have 16. So I hope it was easy for you to understand. Let me know if you have any questions.

Okay, so it's the very rating or radical as an experiment, we have a falling to the power of 1/2 and Aleksic are derivative. So we're going to use our general. So we have eight times one over to threats for times 14 to about 2.7 to the power of 1/2 minus one. Should a negative 1/2 times deserve it of over inside, so that's beat to

All right, We've got another function FFT function and regular Tried to apply the question True, to get the first driven off this function so of prime of tea is gonna vehicle to to Stoudt times he scored post eat lannisters. I'm supplying that question troll. As I mentioned in the earlier problems and minus if you squared minus one, which is the first function so times the derivative of the second function, we just just to team and close for the matter Brian T squared plus t minus toot all squared. So now all we gotta do is just simplify Thank you around to get the final lines. So you know, calculus Whenever we are given a problem, we need to simplify the problem as much as we can. So, to tee times t squared will be just to t cute. Okay? And to tee times, he will be just to t square and to tee times negative two will be negative 14 and t square times to t. We got to teach you, but there's minus sign so it's gonna be native to t cute cheese square times One will be just two square. But there's negative science so it's gonna be a negative. Uh, you squared Negative. One times two t will be negative to tee time. Snag if will be positive Charity Negative. One times one negative one time stated one get possible and divided by t squared My plus t minus. You all squared. OK, so now we need to determine the life trumps. We got to t cute. Negative to t keeps that. They're gonna cancel each other out. We got to t squared minus two squared, so it's gonna be just t squared. We got negative 40 and positive to t. So it's got every negative to to you. And plus one the vital by bottom but t squared plus T minus two. That's that.

We have the function here, F of T is equal to three t plus two over T minus one and looking to evaluate the derivative of our functions that would be a prime of tea and then evaluate the derivative at a given point. Zero common negative, too. Well, that's just evaluating the derivative at the X value at the in this case, the input at the T value. So I'll just be f prime of zero. So first, to evaluate the derivative well, we have our our function here. F of t is equal to three t plus two over t minus. Once we have, we have a quotient, right? So we can go ahead and we could use the question role. So therefore are derivative f prime of G. Now the question will says we take the bottom times the derivative of the top minus the top times, the derivative of the bottom, all divided by the bottom square. So we have the bottom, which is T minus one and then times the derivative off the top. So the derivative of three T plus two is just three, so times three and then minus while the top, which is three t plus two times The derivative of the bottom of the derivative of T minus one is just one. So 12 times one which is gonna change it. But there's times one and then all divided by the bottom, which is t minus one. But the bottom square, so t minus one squared. OK, so what we get here we get are derivative is equal to get three T minus three minus three T minus two. All over. T minus one squared. Okay, well, we're three t minus three tea that goes to zero. Just have minus three minus two, which is negative. Five. So therefore, we have negative five over T minus one. Quantity squared. OK, so there's are derivative. And now Val evaluating the derivative at the 0.0 common negative two is just evaluating at zero. So we have f prime of zero, which is equal to negative five over. What's negative, Dad, That's negative. 5/0 minus one squared. So that's just a soap native. Five over. Zero minus one squared. That's just negative. Five over. Over one, which is negative. Five. So therefore, the derivative here evaluated a two point zero negative too is equal to negative five. So here we are equal to negative five. And if you wanted to go ahead and use computer Alex System, let's say maple, we could then go ahead and verify our results. But yes. Um, the derivative here, evaluated at the 50.0 negative two, is equal to negative five.


Similar Solved Questions

5 answers
Using You remains How many needed Using Select the are solution of 0_ the L Oosppe most rtakalabepro WI I 'proxdedfer acid sodium # to salt acid solution pinoeaqp determine acetic the the acid with apH = H grams appropriate 5.00 add (Assume toa 'salt/acid ratio ne Wolume
Using You remains How many needed Using Select the are solution of 0_ the L Oosppe most rtakalabepro WI I 'proxdedfer acid sodium # to salt acid solution pinoeaqp determine acetic the the acid with apH = H grams appropriate 5.00 add (Assume toa 'salt/acid ratio ne Wolume...
5 answers
If f(x)=x+1 f(x) satisfies the hypothesis of Mean value theorem on the interval [-2,4]Find a number € in the open interval ( _ 2,4) that satisfies the conculsion of the theorem
If f(x)=x+1 f(x) satisfies the hypothesis of Mean value theorem on the interval [-2,4]Find a number € in the open interval ( _ 2,4) that satisfies the conculsion of the theorem...
5 answers
Using Ea + Sx) dx lim (1 + Sx;) Ax, we have lim (1 + 5(-2 a))r = lim 42 Eg]I2o]20|Step 4Now,lim42(-9 204) lim Ax -9 22]But20i20 ~9 +andtep
Using Ea + Sx) dx lim (1 + Sx;) Ax, we have lim (1 + 5(-2 a))r = lim 42 Eg] I2o] 20| Step 4 Now, lim 42(-9 204) lim Ax -9 22] But 20i 20 ~9 + and tep...
5 answers
Use Laplace transforms to solve the differential equationd20 do 16 640 = sin (6t) dt dtgiven that 0 and its derivative are zero at t= 0.
Use Laplace transforms to solve the differential equation d20 do 16 640 = sin (6t) dt dt given that 0 and its derivative are zero at t= 0....
5 answers
1OptsQuestion 4(A monatomic ideal gas that is at some initial pressure and volume expands until its volume is doubled. During which of the following processes does the internal energy of the gas decrease?Adiabatic processIsothcrmal processIsobaric processThe chanpc In Internal encrgy is thc samr for all thcsc Droccsscs;
1Opts Question 4 ( A monatomic ideal gas that is at some initial pressure and volume expands until its volume is doubled. During which of the following processes does the internal energy of the gas decrease? Adiabatic process Isothcrmal process Isobaric process The chanpc In Internal encrgy is thc s...
5 answers
QuestionTka bllowinpLcAzue Laai CH;CO H Dako produccd )
Question Tka bllowinp LcAzue Laai CH;CO H Dako produccd )...
1 answers
Refer to the following matrices. $$\begin{aligned} &A=\left[\begin{array}{rrr} 2 & -1 & 3 \\ 0 & 4 & -2 \end{array}\right] \quad B=\left[\begin{array}{rr} -3 & 1 \\ 2 & 5 \end{array}\right]\\ &C=\left[\begin{array}{rrr} -1 & 0 & 2 \\ 4 & -3 & 1 \\ -2 & 3 & 5 \end{array}\right] \quad D=\left[\begin{array}{rr} 3 & -2 \\ 0 & -1 \\ 1 & 2 \end{array}\right] \end{aligned}$$ $$2 D B+5 C D$$
Refer to the following matrices. $$\begin{aligned} &A=\left[\begin{array}{rrr} 2 & -1 & 3 \\ 0 & 4 & -2 \end{array}\right] \quad B=\left[\begin{array}{rr} -3 & 1 \\ 2 & 5 \end{array}\right]\\ &C=\left[\begin{array}{rrr} -1 & 0 & 2 \\ 4 & -3 & 1 \\ -2 &...
5 answers
Three seconds after starting from rest, a freely-falling objectwill have a speed of about15 m/s.44 m/s.4.9 m/s.29 m/s.0 m/s
Three seconds after starting from rest, a freely-falling object will have a speed of about 15 m/s. 44 m/s. 4.9 m/s. 29 m/s. 0 m/s...
4 answers
462 8 08vmadino LLHeea
462 8 08 vmadino LLHeea...
5 answers
Let U be an open subset of Rm. There exist Cl functions on U that are not differentiable at every point of U.truefalseSave Answer03 Question 3 PointIf a function is smooth, then it is also C1 .truefalse
Let U be an open subset of Rm. There exist Cl functions on U that are not differentiable at every point of U. true false Save Answer 03 Question 3 Point If a function is smooth, then it is also C1 . true false...
5 answers
The Bernoulli equation y 2 V-Ive~ ~2i can be solved by & suitable transformation into & linear = equation. Which of the following linear equations represent such & substitution A) u' + 2u = 2re-21 B) u' 2u = 2re 521 L C) u ~ u = 2re2r D) u +u = 2re ~21
The Bernoulli equation y 2 V-Ive~ ~2i can be solved by & suitable transformation into & linear = equation. Which of the following linear equations represent such & substitution A) u' + 2u = 2re-21 B) u' 2u = 2re 521 L C) u ~ u = 2re2r D) u +u = 2re ~21...
5 answers
JO} JBAJDJUI ajuapyuo) %56 ueJqo (4 'paunojo sey o8ueyp JUOS 18y1 JAQBUJOH[B 34} nsugeBe OE rl 'H jo 1531 SO ue 1nIASUOD (e) 1 Ok"' 'O€ pue O+€ 1841 punog SBM J "SKepxaam S[ Jo o[dues JIOJ uaxB} JJJM shuno) 'pJJInjJO SBY JYJBI UL 33uByp Kue J J3s OL 'OO8 rl jo UBJU e pBy snduB) JO UOpjas Ksnq 1sed JJeJ 2pfJIq uoou 'o8e sjeaf Maj V 08*6
JO} JBAJDJUI ajuapyuo) %56 ueJqo (4 'paunojo sey o8ueyp JUOS 18y1 JAQBUJOH[B 34} nsugeBe OE rl 'H jo 1531 SO ue 1nIASUOD (e) 1 Ok"' 'O€ pue O+€ 1841 punog SBM J "SKepxaam S[ Jo o[dues JIOJ uaxB} JJJM shuno) 'pJJInjJO SBY JYJBI UL 33uByp Kue J J3s OL &#x...
3 answers
(10 points) Suppose A is a 2 X 2 real matrix with an eigenvalue A = 1 + 4i and corresponding eigenvector-1+ 3 =Determine fundamentab set (i.e_ linearly independent set) of solutions for solutionsAy, where the fundamental set consists entirely of real
(10 points) Suppose A is a 2 X 2 real matrix with an eigenvalue A = 1 + 4i and corresponding eigenvector -1+ 3 = Determine fundamentab set (i.e_ linearly independent set) of solutions for solutions Ay, where the fundamental set consists entirely of real...
5 answers
Classify each reaction according to whether precipitate formsPricipitate formsPrecipitate does not formNaNO , NaCl~Cu(NOs)z Na_SOMg(NO,) _ NaBrAgNO; NaBrMg(NO; ) _ NaOHPb(NO,) _ Na, CO;Fe(NO,)2 NaOH
Classify each reaction according to whether precipitate forms Pricipitate forms Precipitate does not form NaNO , NaCl ~Cu(NOs)z Na_SO Mg(NO,) _ NaBr AgNO; NaBr Mg(NO; ) _ NaOH Pb(NO,) _ Na, CO; Fe(NO,)2 NaOH...

-- 0.066784--