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MHT CET202210 Aug 2022Morning ShiftMathematicsDifferentiationActual

If f(x)=b e^ a x +a e^ b x , then f^ (0)=

Options

  1. A(a+b)
  2. Ba b(a+b)^2
  3. C2 a b(a+b)
  4. Da b(a+b)

Correct answer

D. a b(a+b)

Step-by-step solution

aligned & f(x)=b e^ a x +a e^ b x & f^ (x)=b a e^ a x +a b e^ b x & f^ (x)=b a^2 e^ a x +a b^2 e^ b x & f^ (0)=b a^2+a b^2=a b(a+b) aligned

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