CPM Homework Help : CALC Problem 5-171

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Home > CALC > Chapter 5 > Lesson 5.5.2 > Problem 5-171

5-171.

Find the derivative of each of the following functions.

$f(x) = (2x + 1)^2(3x − 1)^3$
Hint (a):
Use the Chain Rule combined with the Product Rule.

$g ( x ) = \frac { 1 } { \operatorname { sin } ( x ^ { 2 } ) }$
Hint (b):
Though you could use the Quotient Rule (combined with the Chain Rule), spare yourself the trouble!

$f(x) = x \tan(x^2)$
Answer (c):
$f^\prime(x) = \tan(x^2) + 2x^2\sec^2(x^2)$

$g ( x ) = \operatorname { cos } ( x \sqrt { x + 1 } )$
Hint (d):
Use the Chain Rule combined with the Product Rule.

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