JEE MATHEMATICS MCQ: DIFFERENTIATION

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\phi \left( x \right)

is 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)

View answer and explanation

Correct option: C

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

Option C (

1 + {\{\phi (x)\}^5}

) is correct because it is derived from the inverse function differentiation rule.

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