   Chapter 8.4, Problem 3E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3, f ( t )  = tan  5 t

To determine

To calculate: The derivative of the trigonometric function f(t)=tan5t.

Explanation

Given Information:

The provided trigonometric function is f(t)=tan5t.

Formula used:

Tangent differentiation rule:

ddx[tanu]=sec2ududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

f(t)=tan5t

Now, consider u=t.

Then, the provided trigonometric function became as,

f(t)=cosu

Differentiate the above function f with respect to t by using Tangent and general power rule of differentiation

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