Derivatives of Logarithmic and Exponential Functions

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

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