JEE Math Practice Question
If $$g$$ is the inverse of a function $$f$$ and $$f'\left( x \right) = {1 \over {1 + {x^5}}},$$ then $$g'\left( x \right)$$ is equal to:
- A.$${1 \over {1 + {{\left\{ {g\left( x \right)} \right\}}^5}}}$$
- B.$$1 + {\left\{ {g\left( x \right)} \right\}^5}$$
- C.$$1 + {x^5}$$
- D.$$5{x^4}$$
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