JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

\phi \left( x \right)

be the inverse of the function

f\left( x \right)

and

f'\left( x \right) = \frac{1}{{1 + {x^5}}}

, then

\frac{d}{{dx}}\phi \left( x \right)

is equal to

View answer and explanation

Correct option: C

1 + {\left[ {\phi \left( x \right)} \right]^5}

Option C (

1 + {\left[ {\phi \left( x \right)} \right]^5}

) is correct because it is the derivative of the inverse function, calculated using the given derivative of the original function.

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