For problems $13-27,$ find the derivative.

$f(x)=2x^9+3x^7-4x^4+7x^2-x+1$

$y=3\sqrt[\phantom{2}]{x}-\frac{2}{x^2}+7x^{\frac{4}{5}}+5$

$h(x)=7e^x-2$

$g(x)=e^x\sqrt[\phantom{2}]{x}$

$y=\frac{2x^2+3x-1}{x^2+2x-5}$

$z=\sqrt[3]{5x^7-3}$

$f(x)=3e^{2x^2-1}$

$h(x)=2x^2{e}^{2x^3-1}$

$y=\frac{3x+1}{\sqrt[\phantom{2}]{2x-1}}$

$f(x)=ln(3x^4-2x^3+x^2-7x+1)$

$g(x)=ln(\frac{\sqrt[\phantom{2}]{2x+1}}{3x^2(4x^2+1{)}^{17}})$

$h(x)=sinxcosx$

$y=2cs{c}^4(2x^3+3)+1$

$f(t)=3^{2t+1}-lo{g}_5(2t^3+3)$

$g(x)=3arcsin(5x^2-3)$

Find the equation $of$ the line tangent $tof(x)=2x^2-3x-1$ when $x=2.$

Let $2x^2+3y^3=3x^4-2y^2.$ Use implicit differentation $to$ find $\frac{dy}{dx}.$

Let $3v^5+2u^4{v}^3+7u^3=3.$ Use implicit differentiation $to$ find $\frac{du}{dv}.$

For problems $31$ and $32,$ use logarithmic differentiation $to$ find the derivatives $of$ the functions.

$y=x^{cosx}$

$y=\sqrt[\phantom{2}]{\frac{(3x^2+1)tanx}{x^2(2x+1{)}^{13}}}$