4. Derivatives of 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.

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

Find the derivative of the given function.

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

Find the derivative of the given function.

$g(x)=7e^x+2x^3$

Find the derivative of the given function.

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

Find the derivative of the given function.

$f(t)=\(\frac{e^{3t}\)}{t-2e^{-t}}$

Find the derivative of the given function.

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

Find the derivative of the given function.

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

Find the derivative of the given function.

$f(x)=(x^3+2x)\(\cdot\]\log\)_5x$

Find the derivative of the given function.

$g\(\left\)(t\(\right\))=\(\log\)_5\(\left\)(7^{t^2+4}\(\right\))$

Find the derivative of the given function.

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

Find the derivative of the given function.

$g(x)=e^{x}+\(\ln\) x^5$

Find the derivative of the given function.

$h\(\left\)(x\(\right\))=\(\ln\]\left\)(\(\frac{\sqrt{x+1}\)}{x^2+3}\(\right\))$