009A Sample Midterm 3, Problem 5

Find the derivatives of the following functions. Do not simplify.

(a)  $f(x)=\sin {\bigg (}{\frac {x^{-3}}{e^{-x}}}{\bigg )}$

(b)  $g(x)={\sqrt {\frac {x^{2}+2}{x^{2}+4}}}$

(c)  $h(x)=(x+\cos ^{2}x)^{8}$

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