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.

$y=(4x-3x^2+9)\cdot2^{5x}$

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.

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