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MHT CET2011MathematicsFunctions

If f(x)=e^ x g(x), g(0)=2, g^ (0)=1 , then f^ (0) is

Options

  1. A1
  2. B3
  3. C2
  4. D0

Correct answer

B. 3

Step-by-step solution

f^ (x)=e^ x g^ (x)+e^ x g(x) aligned f^ (0)=e⁰ g^ (0)+e⁰ g(0) =1 1+1 2 [ g^ (0)=1 and g(0)=2 ] =1+2=3 aligned

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