1

What is the derivative of #f(t) = (e^(t^2-1)-t, 2t^2-4t ) #?

Question

What is the derivative of #f(t) = (e^(t^2-1)-t, 2t^2-4t ) #?
What is the derivative of #f(t) = (e^(t^2-1)-t, 2t^2-4t ) #?

Answers

#(dy)/(dx)=(4t-4)/(2te^(t^2-1)-1)#

Explanation:

Derivative of a parametric function #f(t)=(x(t),y(t))# is given by #(dy)/(dx)=((dy)/(dt))/((dx)/(dt))#
As #y(t)=2t^2-4t#, #(dy)/(dt)=4t-4#

and as #x(t)=e^(t^2-1)-t#,, #(dx)/(dt)=e^(t^2-1)xx2t-1=2te^(t^2-1)-1#

#(dy)/(dx)=(4t-4)/(2te^(t^2-1)-1)#


Similar Solved Questions

1 answers
1 and 2 or any 1. Fluorobenzene is a 0,p- director. Draw one sigma complex for...
1 and 2 or any 1. Fluorobenzene is a 0,p- director. Draw one sigma complex for 1-fluoro-2-nitrobenzene and one sigma complex for 1-fluoro-3-nitrobenzene. Ensure that each sigma complex makes it clear why 0,p- substitution is favored over m- substitution. (6 points) 2. Using resonance structures, ...
1 answers
How do you differentiate #f(x)= ( x +2sinx )/ ( x - 6)# using the quotient rule?
How do you differentiate #f(x)= ( x +2sinx )/ ( x - 6)# using the quotient rule?...
1 answers
4. Rours et al. (2005) collected urine specimens from 750 asymptomatic pregnant women in Rotterdam, Netherlands,...
4. Rours et al. (2005) collected urine specimens from 750 asymptomatic pregnant women in Rotterdam, Netherlands, to estimate the prevalence of chlamydia among the corre- sponding population. Of the 750 specimens, 48 tested positive for the disease. Using this information, answer the following: (a) D...
1 answers
Suppose approximately 75% of all marketing personnel are extroverts, whereas about 50% of all computer programmers...
Suppose approximately 75% of all marketing personnel are extroverts, whereas about 50% of all computer programmers are introverts (Round your answers to three decimal places.) (a) At a meeting of 15 marketing personnel, what is the probablity that 10 or more are extroverts? What is the probability t...
1 answers
Questions are a continuation of questions 2,3. Thank you for you help! I really need help...
Questions are a continuation of questions 2,3. Thank you for you help! I really need help with just 3&4. 3.Suppose you wish to perform the reation you wrote in problem 2 on the other -OH group.How might you prepare the molecule in order to do so? Suggest appropiate reagents and draw your expecte...
1 answers
Identify a dissertation in the ProQuest Dissertations and Theses database in the GCU Library. Read the...
Identify a dissertation in the ProQuest Dissertations and Theses database in the GCU Library. Read the "Statement of the Problem" section of Chapter 1 in the dissertation. What was the problem statement for this dissertation? How did the author support the problem using the gap/need identifi...
1 answers
2. Calculate the length of the arc subtended by an angle of 128° on a circle...
2. Calculate the length of the arc subtended by an angle of 128° on a circle of radius 22 inches. Round off your length to 1 decimal place. Write down the steps to your final answer. 3. Calculate the area of the sector subtended by an angle of 79° in a circle with radius 5.3 inches. Round of...
1 answers
How does incentive relate to the idea of Free Lunch? Milton Friedman said there's no such...
How does incentive relate to the idea of Free Lunch? Milton Friedman said there's no such thing as free lunch and he also talks about giving people the incentive to chose. I just can't understand what that has to do with the concept of no free lunch. Please provide a detailed response with e...
1 answers
EXPERIMENT 17 REPORT: OXIDATION-REDUCTION REACTIONS PART A AN ACTIVITY SERIES FOR METALS Selo Cop...
EXPERIMENT 17 REPORT: OXIDATION-REDUCTION REACTIONS PART A AN ACTIVITY SERIES FOR METALS Selo Copper Rank the metah in the left-hand colamn accoding to increasing activity (abiliay to be osiid,or giva ue ekectrons) EXPERIMENT 17 REPORT: OXIDATION-REDUCTION REACTIONS PART A AN ACTIVITY SERIES FOR ME...
1 answers
Compute each sum below. If applicable, write your answer as a fraction. la x X 5...
Compute each sum below. If applicable, write your answer as a fraction. la x X 5 ? 2 2-3)* = -19,680] k = 1...
1 answers
Holtzman Clothiers's stock currently sells for $32 a share. It just paid a dividend of $3.5...
Holtzman Clothiers's stock currently sells for $32 a share. It just paid a dividend of $3.5 a share (i.e., Do = $3.5). The dividend is expected to grow at a constant rate of 10% a year a. What stock price is expected 1 year from now? Round your answer to two decimal places. b. What is the requir...
1 answers
Myers Company uses a flexible budget for manufacturing overhead based on direct labor hours. Variable manufacturing...
Myers Company uses a flexible budget for manufacturing overhead based on direct labor hours. Variable manufacturing overhead costs per direct labor hour are as follows. Indirect labor Indirect materials Utilities 1.10 0.90 0.40 Fixed overhead costs per month are Supervision $ 4,200, Depreciation $ 1...
1 answers
Need problem solving process and the steps version 2 Questions 03 - 05 In a poll, 60% of adults think that protectin...
Need problem solving process and the steps version 2 Questions 03 - 05 In a poll, 60% of adults think that protecting the environment should be given priority over developing energy supplies. Q03 Suppose that a random sample of 3 adults is asked on the subject. What is the probability that 2 of t...

-- 0.052523--