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

Revision as of 12:27, 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.

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

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

@@ Line 6: / Line 6: @@
 ====equations for quiz====
 No meter what you can use this equation to get the answer.
 <math>(ln(x^n))'= {n \over x} </math>
 ==log(Not Natural log)==
 <math>(log_a x^z)' = {z\over ln   {a*x}} </math>