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

$(log_{a}x^{z})'={1 \over ln_{a}}(lnx^{z})'={z \over ln{a*x}}$

@@ Line 4: / Line 4: @@
 ==Natural log==
-====equations====
+====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)' ={1 \over ln_a}(ln x^z)'= {z\over ln   {a*x}} </math>