Math, asked by ansh26jannu, 8 months ago

If h(x)=e^(e^(x)) then (h'(x))/(h(x)) is equal to​

Answers

Answered by VaibhavSR
0

Answer: e^{x}

Step-by-step explanation:

  • Given h(x)=e^{e^{x} }.
  • Differentiation of e^{x}with respect to x is e^{x}.
  • So,h'(x)=\frac{de^{e^{x} }}{dx}

                    =e^{x} e^{e^{x} }

  • To calculate \frac{h'(x)}{h(x)}.

          \frac{h'(x)}{h(x)}=\frac{e^{x}e^{e^{x} }  }{e^{e^{x} } }

                  =e^{x}

  • Hence, \frac{h'(x)}{h(x)} is e^{x}.

#SPJ3

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