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Differentiation question

2024 · 4 Apr · Shift 1 · Q37
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  5. /2024 · 4 Apr · Shift 1 · Q37

Differentiation question

2024 · 4 Apr · Shift 1 · Q37

JEE MainMathematicsDifferentiationMCQ+4 / −1
Let f(x)=x5+2ex/4f(x)=x^5+2 \mathrm{e}^{x / 4}f(x)=x5+2ex/4 for all x∈Rx \in \mathbf{R}x∈R. Consider a function g(x)g(x)g(x) such that (g∘f)(x)=x(g \circ f)(x)=x(g∘f)(x)=x for all x∈Rx \in \mathbf{R}x∈R. Then the value of 8g′(2)8 g^{\prime}(2)8g′(2) is :
  1. A
    4
  2. B
    2
  3. C
    16
  4. D
    8
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