A) \[1+{{x}^{5}}\]
B) \[5{{x}^{4}}\]
C) \[\frac{1}{1+{{\left\{ g(x) \right\}}^{5}}}\]
D) \[1+{{\{g(x)\}}^{5}}\]
Correct Answer: D
Solution :
\[g\{f(x)\}=x\] \[g'\{f(x)\}.f'(x)=1\Rightarrow g'\{f(x)\}=\frac{1}{f'(x)}\] \[\Rightarrow \]\[g'\{f(x)\}=1+{{x}^{5}}\] \[g'\left\{ f\left\{ g(x) \right\} \right\}=1+{{\left\{ g(x) \right\}}^{5}}\Rightarrow g'(x)=1+{{\left\{ g(x) \right\}}^{5}}\]
You need to login to perform this action.
You will be redirected in
3 sec
