   Chapter 4.5, Problem 50E

Chapter
Section
Textbook Problem

Finding an Equation Exercises 49-52, find an equation for the function f that has the given derivative and whose graph passes through the given point. Derivative Point f ' ( x ) = sec 2 2 x ( π 2 ,     2 )

To determine

To calculate: The equation for the function f(x)=sec22x(π2,2).

Explanation

Given:

The provided function is:

f(x)=sec22x(π2,2)

Formula used:

If f'(x) is derivative of f(x) then,

f'(x)dx=f(x)

Integration of sec2x is:

sec2xdx=tanx

Calculation:

To find the anti-derivative of f'(x), integrate f'(x) with respect to x:

f'(x)dx=

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