Question: What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule

What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Try it with the function.

Find dy/dx if y = x by using the Chain Rule with y as a compsite of

a. y = (u/5) + 7 and u = 5x - 35

b. y = 1 + (1/u) and u = 1/(x - 1).

Step by Step Solution

3.59 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

According to the Chain Rule the derivative of a function can be calculated by calculating the deriva... 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 Questions!