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Differentiation question

2024 · 6 Apr · Shift 2 · Q46
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  5. /2024 · 6 Apr · Shift 2 · Q46

Differentiation question

2024 · 6 Apr · Shift 2 · Q46

JEE MainMathematicsDifferentiationMCQ+4 / −1
Suppose for a differentiable function h,h(0)=0,h(1)=1h, h(0)=0, h(1)=1h,h(0)=0,h(1)=1 and h′(0)=h′(1)=2h^{\prime}(0)=h^{\prime}(1)=2h′(0)=h′(1)=2. If g(x)=h(ex)eh(x)g(x)=h\left(\mathrm{e}^x\right) \mathrm{e}^{h(x)}g(x)=h(ex)eh(x), then g′(0)g^{\prime}(0)g′(0) is equal to:
  1. A
    4
  2. B
    5
  3. C
    3
  4. D
    8
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