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COMEDK2019MathematicsDifferentiation

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

Options

  1. A0
  2. B2 a b
  3. Ca b(a+b)
  4. Da b

Correct answer

C. a b(a+b)

Step-by-step solution

We have, aligned & f(x) &=b e^ a x +a e^ b x & f^ (x) &=a b e^ a x +a b e^ b x & & f^ (x) &=a² b e^ a x +a b² e^ b x & & f^ (0) &=a² b+a b²=a b(a+b) aligned

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