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MHT CET202014 Oct 2020Evening ShiftMathematicsDifferentiationActual

If f(x)=e^ x g(x), g(0)=4, g^ (0)=2 , then f^ (0)=

Options

  1. A4
  2. B6
  3. C1
  4. D2

Correct answer

B. 6

Step-by-step solution

Given f(x)=e^ x g(x) aligned f^ (x) &=e^ x g^ (x)+g(x) e^ x f^ (0) &=e⁰ g^ (0)+g(0) e⁰ &=2+4=6 aligned

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