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3-165.

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

1. $y = \sqrt [ 3 ] { \frac { 1 } { x ^ { 2 } } }$

Before differentiating, rewrite $y$ with a negative fractional exponent.

1. $y = x \sqrt { x }$

Before differentiating, rewrite $y$ with a fractional exponent.

1. $y =\operatorname{sin}^2 x + \operatorname{cos}^2 x$

Before differentiating, rewrite $y$. Think: trig identities!

1. $y = \frac { x + 2 } { x }$

Before differentiating, rewrite $y$ by simplifying the fraction and rewriting with a fractional exponent.