Question

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

Answer 1

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 $e^{x}$.

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