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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.3, Problem 37E

To determine

**To find:** The rate of change of

Expert Solution

The rate of change of

**Given:**

The length of the ladder is 10 ft, which rests against the vertical wall.

The angle between the top of the ladder and the wall is

The distance from the bottom of the ladder to the wall is *x*.

**Derivative rule:**

Constant Multiple Rule:

If *c* is constant and

**Calculation:**

The given situation is as shown in the below Figure 1.

In Figure 1,

Cross multiply the equation,

Differentiate the equation with respect to

Apply the Constant Multiple Rule as shown in equation (1),

The rate of change of

Therefore, the rate of change of