Question

Write the derivative of f(x) = e^3log x with respect to x.

wrong ans will be reported

Answer 1

SOLUTION

TO DETERMINE

The derivative of

$\sf{f(x) = {e}^{3\log x} }$

EVALUATION

Here the given function is

$\sf{f(x) = {e}^{3\log x} }$

$\sf{ \implies \: f(x) = {e}^{\log {x}^{3} } }$

$\sf{ \implies \: f(x) = {x}^{3} }$

Differentiating both sides with respect to x we get

$\sf{ \: f'(x) = 3 {x}^{2} }$

Which is the required derivative of the given function f(x)

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Answer 2

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$\sf{f(x) = {e}^{3\log x} } \\ </p><p>\sf{f(x) = {e}^{3\log x} } \\ </p><p>\sf{ \implies \: f(x) = {x}^{3} }$