Derivatives of Logarithmic and Exponential Functions

log

1. Natural log of $x$ : $(ln(x))'={1 \over x}*(x)'$
2. log of $x$ : $(log_{a}x^{z})'=({lnx^{z} \over lna})'={1 \over ln_{a}}(lnx^{z})'={zx^{z-1} \over ln{a*x^{z}}}$

Natural log

equations for quiz

No meter what you can use this equation to get the answer.

$(ln(x^{n}))'={n \over x}$

log(Not Natural log)

$(log_{a}x^{z})'={z \over ln{a*x}}$