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

Latest revision as of 14:27, 15 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 1: / Line 1: @@
-==log==
 #Natural log of <math>x</math> : <math>(ln(x))'= {1 \over x} * (x)' </math>
 #log of <math>x</math> : <math>(log_a x^z)' = ({ln x^z \over ln  a})'={1 \over ln_a}(ln x^z)'= {z x^{z-1} \over ln   {a*x^z}} </math>
+<noinclude>
 ==Natural log==
-====equations for quiz====
+====equations it may be help full====
 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>
+====equations it may be help full====
+<math>(log_a x^z)' = {z\over ln   {a*x}} </math>
+</noinclude>