Question: Find the indicated derivative in two ways: a. Replace x and y to write z as a function of t and differentiate. b. Use the

Find the indicated derivative in two ways:


a. Replace x and y to write z as a function of t and differentiate.


b. Use the Chain Rule.z' (t), where z H X + 1 , x = 1

z' (t), where z H X + 1 , x = 1 + 2t, and y = t - 2 y

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find the derivative of z with respect to t well use the given expressions for x and y and differe... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus 1st Questions!

Q:

Find z/s and z/t in two ways: by using the Chain Rule, and by first substituting the expressions for x and y to write z as a function of s and t. Do your answers agree? z = x 2 + y 2 , x = 2s + 3t, y...

Q:

Find dz/dt in two ways: by using the Chain Rule, and by first substituting the expressions for x and y to write z as a function of t. Do your answers agree? z = xye y , x = t 2 , y = 5t

Q:

In Problem 7 - 18, find the indicated derivative for each function, 8. g"(x) for g (x) = -x3 + 2x2 - 3x + 9 10. k"(x) for k (x) = -6x-2 + 12x-3 12. d2y/dx2for y = x3 - 24x1/3 14. y for y = (x2 - 16)5...

Q:

dz Use the Chain Rule to find dt , where z = 2x cosy, x =t, and y = 314. dz dt (Type an expression using t as the variable.)Find z'(t). where z = 1+ -, x=12 + 3t, and y=t - 1, in the following ways....

Q:

4) Letz = xsin(y) where x(t) = t2 and y(t) = 4t3 Find z'(t) in two different ways: a. Replace x and y to write z as a function of t, and differentiate. b. Use the chain rule (make sure to draw the...

Q:

Find z ' ( t ) , where z = 1 x 1 y , x = t 2 4 t , and y = t 3 - 6 , in the following ways. a . Replace x and y to write z as a function of t and differentiate. b . Use the Chain Rule. ( Type an...

Q:

17. [-/1 Points] DETAILS BERRAPCALCBR7 2.3.018. MY NOTES ASK YOUR TEACHER Find the derivative of the function. A( x ) = f ' ( x ) : 18. [-/1 Points] DETAILS BERRAPCALCBR7 2.3.022. MY NOTES ASK YOUR...

Q:

Safari File Edit View History Bookmarks Window Help O US O Q 8 0 Fri Dec 8 7:34 AM [ ] v O mylab.pearson.com C 88 G Assignments Upload Assignment: Wri... Bb https://learn-us-east-1-... P Do Homework...

Q:

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Q:

Solve the problem. What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a? Group of answer choices The limit ofasfrom the left...

Q:

Describe vendor analysis.

Q:

Give an example to illustrate each of the following: (a) constant opportunity costs and (b) increasing opportunity costs.

Q:

CHALLENGE Scuba-diving trips. The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 60% males and 40% females. The agency calls 30 people chosen at random from...

Q:

Do movements such as those represented by Promise Keepers do more to unite or to divide families? Explain your response and provide examples to justify your thoughts.

Q:

For the following exercises, one card is drawn from a standard deck of 52 cards. Find the probability of drawing the following: Red six

Q:

A ball has a bounce-back ratio 3/5 of the height of the previous bounce. Write a series representing the total distance traveled by the ball, assuming it was initially dropped from a height of 5...

Q:

For the following exercises, use the spinner in Figure 1. A bowl of candy holds 16 peppermint, 14 butterscotch, and 10 strawberry flavored candies. Suppose a person grabs a handful of 7 candies. What...

Q:

On January 2, 2019, Frederick Corporation issued 18,000 shares of $10 par value common stock for $13 per share. On April 1, 2019, Alpha reacquired 1,500 of these shares when they were trading $16 per...

Q:

Depreciation on the companys equipment for the year is computed to be $18,000. The Prepaid Insurance account had a $6,000 debit balance at December 31 before adjusting for the costs of any expired...

Q:

When Jerome Companys monthly costs were $80,000, sales were $90,000. When its monthly costs were $60,000, sales were $50,000. Use the high-low method to develop a monthly cost formula for Jeromes...