### Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem3-102

3-102.
1. Find f ′(x) for each of the following functions. Homework Help ✎

f '(x) = 2(x − 5)2 + 2x

Before you find the derivative, rename f(x) using laws of exponent.

$\text{ Careful. What is sin}\frac{\pi }{4}?$

$\text{ Describe the graph of }y=\text{ sin}\frac{\pi }{4}.$

Describe the behavior of its slope.

Refer the the hint in part (b).