   Chapter 2.R, Problem 12TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. d d x ( tan 2 x ) = d d x ( sec 2 x )

To determine

To state:

Whether the given statement," d dx ( tan 2 x)= d dx ( sec 2 x) " is true or false.

Explanation

By the formula,

1+tan2x=sec2x

Differentiate whole equation with respect to x:

ddx(1+tan2x)=ddx(sec2x)

By sum rule,d(fx+g(x))dx=d(f(x))dx+d(g(x))dx

ddx(1)+ddx(

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