CPM Homework Help : APCALC Problem 3-102

CPM Homework Banner

Home > APCALC > Chapter 3 > Lesson 3.3.2 > Problem 3-102

3-102.

Write the slope function for each of the following functions.

$f(x) = \frac { 2 } { 3 }(x − 5)^3 + x^2$
Answer (a):
$f^\prime (x) = 2(x − 5)^2 + 2x$

$f ( x ) = \sqrt [ 3 ] { x }$
Hint (b):
Before you find the derivative, rename $f(x)$ using laws of exponent.

$f ( x ) = \operatorname { sin } ( \frac { \pi } { 4 } )$
Hint (c):
Careful. What is $\frac{\pi }{4}$ ?
Describe the graph of $y=\text{ sin}\frac{\pi }{4}$ .
Describe the behavior of its slope.

$f ( x ) = \frac { 1 } { ( x + 1 ) ^ { 2 } }$
Hint (d):
Refer the the hint in part (b).

© 2022 CPM Educational Program. All rights reserved.