Let f(x)=x⁵+2 e^(x / 4) for all x R. Consider a function g(x) such that (g° f)(x)=x for all x R. Then the value of 8 g^()(2) is:

Limit, Continuity and Differentiability: JEE Main 2024 Mathematics question

JEE Main 2024 · 4 Apr, Morning shift · Q3660

JEE Main 20244 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=x^5+2 \mathrm{e}^{x / 4}

for all

x \in \mathbf{R}

. Consider a function

g(x)

such that

(g \circ f)(x)=x

for all

x \in \mathbf{R}

. Then the value of

8 g^{\prime}(2)

is :

JEE Main 2024 · 4 Apr, Morning shift · Q3660

JEE Main 20244 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=x^5+2 \mathrm{e}^{x / 4}

for all

x \in \mathbf{R}

. Consider a function

g(x)

such that

(g \circ f)(x)=x

for all

x \in \mathbf{R}

. Then the value of

8 g^{\prime}(2)

is :