Find the derivative of an exponential function Calculus

Find the derivative of the following functions.

f:x\longmapsto 5^x

f'\left(x\right)=\ln\left(5\right)

f'\left(x\right)=5^{x}

f'\left(x\right)=5^{x}\cdot\ln\left(5\right)

f'\left(x\right)=\dfrac{5^{x}}{\ln\left(5\right)}.

f:x\longmapsto 3\left(\dfrac{1}{7}\right)^{x}

f'\left(x\right)=-3\ln\left(7\right)\left(\dfrac{1}{7}\right)^{x}

f'\left(x\right)=-\ln\left(7\right)\left(\dfrac{1}{7}\right)^{x}

f'\left(x\right)=3\left(\dfrac{1}{7}\right)^{x}

f'\left(x\right)=3x\left(\dfrac{1}{7}\right)^{x-1}.

f:x\longmapsto \left(\ln\left(4\right)\right)^{x}

f'\left(x\right)=\left(\ln\left(4\right)\right)^{x}

f'\left(x\right)=\dfrac{1}{4}\left(\ln\left(4\right)\right)^{x}

f'\left(x\right)=\left(\ln\left(4\right)\right)^{x}\cdot\ln\left(\ln\left(4\right)\right)

f'\left(x\right)=\dfrac{1}{4}\ln\left(4\right)\left(\ln\left(4\right)\right)^{x}

f:x\longmapsto 5\left(\pi\right)^{2x}

f'\left(x\right)=10\cdot\ln\left(\pi\right)\cdot\left(\pi\right)^{2x}

f'\left(x\right)=5\cdot\left(\pi\right)^{2x}

f'\left(x\right)=\ln\left(\pi\right)\cdot\left(\pi\right)^{2x}

f'\left(x\right)=5\pi\cdot\left(\pi\right)^{2x}

f:x\longmapsto e^{-x}

f'\left(x\right)=e^{-x}

f'\left(x\right)=xe^{-x-1}

f'\left(x\right)=e^{x}

f'\left(x\right)=- e^{-x}

f:x\longmapsto 7e^{3x}

f'\left(x\right)=21\cdot e^{3x}

f'\left(x\right)=7\cdot e^{3x}

f'\left(x\right)=21\cdot e^{3x-1}

f'\left(x\right)=\dfrac{1}{7e^{3x}}