USING CHAIN RULE TO FIND DERIVATIVE WORKSHEET

Use the chain rule to find dy/dx at the indicated value of x.

Problem 1 :

y = 2u² + 5 and u = 3x, when x = 1

Solution

Problem 2 :

y = u² - 5u and u = 2x + 1, when x = 0

Solution

Problem 3 :

y = 5/(u + 2) and u = 3x - 2, when x = 1

Solution

Problem 4 :

y = √(u² + 3) and u = 2x² - 1, when x = 1

Solution

Problem 5 :

Solution

Differentiate (using an embedded chain rule):

Problem 1:

2x/(x + 1)^1/2

Solution

Problem 2 :

(2x + 7)³/(4x - 1)

Solution

Problem 3 :

(x - 1)/(7x + 3)⁴

Solution

Problem 4 :

(x - 1)/(7x + 3)⁴

Solution

Problem 5 :

(2x - 5)/√(x + 1)

Solution

Problem 6 :

√(x + 1)/(4x + 1)

Solution

Problem 7 :

(x + 4)/³√x

Solution

Problem 8 :

(x + 3)⁴/x²

Solution