5

[-/2 Points]DETAILSThis is similar to Section 1.1 Problem 2(e): The function $ is given by the equation S(x)=4 x - 2. (e) S(xth)-S(x) for h # 0Hint: Follow Examples...

Question

[-/2 Points]DETAILSThis is similar to Section 1.1 Problem 2(e): The function $ is given by the equation S(x)=4 x - 2. (e) S(xth)-S(x) for h # 0Hint: Follow Examples 3 and 4. Lymbolic Toumalting halp)

[-/2 Points] DETAILS This is similar to Section 1.1 Problem 2(e): The function $ is given by the equation S(x)=4 x - 2. (e) S(xth)-S(x) for h # 0 Hint: Follow Examples 3 and 4. Lymbolic Toumalting halp)



Answers

Refer to functions $f$ and $g$ that satisfy $f^{\prime}(2)=3$ and $g^{\prime}(2)=-1 .$ In each problem, find $h^{\prime}(2)$ for the indicated function $h$ $$ h(x)=4 f(x) $$

Thank you, Owen. Edge of X equal to apple eggs, Both g off eggs. Where? Delivery of F of two. He called 23 and the delivery of G of two. He could do negative one. So we have to find the individual edge of two. So here we know that the diversity of edge of eggs equal to the debut of F of X plus the delivery of G of X. So here we put ax equal to two. So we get the delivery of edge of two equal to the day or two off half of two lose. They would go off G of two. Now we put the value of the derivative of F of flu, which is three bliss. The value is very body of G of two, which is 91. So we put here and we simplify that and we get delivery of edge of two. He could do do so. It is our final answer

Cuban edge of X equal to G of X negative f of X, where delivery off half of two equal to three, and delivery of G of two equal to negative one. So we have to find the value of derivative of age of two. So you can see that here the delivery of edge of eggs equal to the video of G O fax. Negative. There you go. Half of X. Now we put here X equal to two and we get the delivery of edge of two equal to delivery evolve G of two. Now you do delivery of f of two. So here we put the value of delivery off G of two, which is 91 now. You do now we put the value of delivery of half of two, which is three. So we put here and we get derivative of age of two equal to negative four. So it is all for an answer.

So all about it, Our graph looks like this and we want to find H. Of negative three. We want to find a church of zero and we want to find a church of two. And so each of negative three happens to take place right? There is where are value is negative three, R. X. Value is negative three. And that white order to zero, the X. Value of zero corresponds to a Y. Value of negative three. This coordinate is zero negative three. And now we want to look on the graph, where is the X. Value to what is that? Y coordinate. And that point is 25 So each of two is five. Yeah.

Here we are given a polynomial function, and we need to find up. Were you of the polar function and given plane given function If a check equal to one divided by two x Q minus X that one divided by four No, in park. Okay, edge off zero. We put X equal to zero in the given polynomial function. Trouble Tzeitel. One divided were true zero Q minus zero with one divided way for villa que with also zero and time to one wayto Vero Vero man a 00 we get when a pawn four that the under four part E no part B that is head off Do we will put X equal toe in the given polynomial function You get head off to one divided Puerto No, que my left to plus one Nobody the way four now Simplify when divided Where to took you with it. My enough. You last one divided by four one by two times it that is four. My next to last one divided by four four managed to to left one divided by four. Now we add the fractions. We get it divided by four. Yes, one de breaded way for here. We make that denominator common toe. Take LCD. Get nine upon four. That's the answer for this part. No. Come to the park. Si. We will find hedge off minus boom. Similarly, we will put X equal to manage to in the given polynomial function. One divided by two managed to put a power three minus man. It's time to bless. One way for there is equal to mind. If one divided by two, mind you that they've minus it. Manage time managed toe that is plus two. That's one divided way for one divided by two times minus said that is minus four. Blessed to breath, one divided way for Mina four plus two that if minus two plus one divided by four No, adding the fractions. We will make that denominator common. Fife, have you have by enough It by four Breath One way for we get my nothing plus one minus seven. Divided by four under four Part Steve minus seven. Way for no part B, you find at Joffe minus one. Here we will put X equals minus one. In the given polynomial function, Etch off minus one. No wonder about it. Back to you my life. Thank you. My left, my lifetime. One left Wonder where did? By four we get find a friend Cube that is minus one Mind off one divided by two My lifetime minus 100 plus one plus one divided by four. Take that common denominator We get managed to divided by four. Let's four divided by four left one divided by four He get a job minus one. Quito minus two. Blessed for do that's 13 divided by four Death tha answer for our D.


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