Difference between revisions of "Derivatives of Logarithmic and Exponential Functions"

Revision as of 12:25, 4 September 2021

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

No meter what you can use this equation to get the answer. $(ln(x^{n}))'={n \over x}$

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

Revision as of 12:25, 4 September 2021 (view source) Githubhenrykoo (talk \| contribs) ← Older edit		Revision as of 12:25, 4 September 2021 (view source) Githubhenrykoo (talk \| contribs) (→‎log(Not Natural log)) Newer edit →
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	==log(Not Natural log)==		==log(Not Natural log)==
	<math>(log_a ~~x^z)' ={1 \over ln_a}(ln~~ x^z)'= {z\over ln {a*x}} </math>		<math>(log_a x^z)' = {z\over ln {a*x}} </math>