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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.5, Problem 14E

To determine

**To calculate: **The derivative of the function

Expert Solution

The derivative of the function is

**Given information:**

The function

**Formula used:**

Thechain rule for differentiation is if f is a function of gthen

Power rule for differentiation is

Product rule for differentiation is

Quotient rule for differentiation is

Derivative of

**Calculation:**

Consider the function

Differentiate both sides with respect to x ,

Recall that power rule for differentiation is

Also for the terms of the above expression, apply the product rule for differentiation.

Recall that quotient rule for differentiation is

Apply it. Also observe that y is a function of x,

Isolate the value of

Thus, the derivative of the function is