6. Derivatives of Inverse, Exponential, & Logarithmic Functions

Find the derivative of the given function.

$f(x)=2^x-5^x$

Find the derivative of the given function.

$g(x)=x^4+4x+4^x$

Find the derivative of the given function.

$y=(4x-3x^2+9)\(\cdot\)2^{5x}$

Find the derivative of the given function.

$h\left(x\right)=4^{{(\sqrt{x}+3x)}^{\frac{5}{4}}}$