If g is the inverse of a function f and f'(x) = 1/(1 + x⁵), then g'(x) is equal to:

Limit, Continuity and Differentiability: JEE Main 2014 Mathematics question

JEE Main 2014 · Session, Shift 1 · Q3656

JEE Main 2014Session, Shift 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

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:

JEE Main 2014 · Session, Shift 1 · Q3656

JEE Main 2014Session, Shift 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

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: