6. Derivatives of Inverse, Exponential, & Logarithmic Functions

Find the derivative of the given function.

$g(x)=e^{x^2\(\ln\) x}$

Find the derivative of the given function.

$h\(\left\)(x\(\right\))=\(\sin\]\left\)(\(\log\)_4\(\left\)(x^2\(\right\))\(\right\))$

Find the derivative of the given function.

$f(x)=-3e^x+5x-2$

Find the derivative of the given function.

$y=x^2e^{3x^2+5x}$

Find the derivative of the given function.

$y=\tan \left(e^{-x^3}\right)$

Determine the intervals for which the function is concave up or concave down. State the inflection points.

$f(x)=4\(\ln\)(3x^2)$

Find the derivative of the given function.

$g(t)=2t+\(\log\)_5t$

Find the derivative of the given function.

$f(x)=8\(\log\)_2x$