CPM Homework Help : CALC Problem 3-165

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Home > CALC > Chapter 3 > Lesson 3.4.2 > Problem 3-165

3-165.

Find $\frac { d y } { d x }$ for each of the following equations. You will need to rewrite each equation first.

$y = \sqrt [ 3 ] { \frac { 1 } { x ^ { 2 } } }$
Hint (a):
Before differentiating, rewrite $y$ with a negative fractional exponent.

$y = x \sqrt { x }$
Hint (b):
Before differentiating, rewrite $y$ with a fractional exponent.

$y =\operatorname{sin}^2 x + \operatorname{cos}^2 x$
Hint (c):
Before differentiating, rewrite $y$ . Think: trig identities!

$y = \frac { x + 2 } { x }$
Hint (d):
Before differentiating, rewrite $y$ by simplifying the fraction and rewriting with a fractional exponent.

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