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COMEDK2019MathematicsDifferentiation

If f (x⁵ )=5 x³ , then f^ (x)=

Options

  1. A3 [5] x²
  2. B3 [5] x
  3. C3 x
  4. D[5] x

Correct answer

A. 3 [5] x²

Step-by-step solution

We have, aligned f (x⁵ ) &=5 x³ f(x) &=5 x^ 3 / 5 f^ (x) &=5 3 5 x^ 3 5 -1 =3 x^ - 2 5 &= 3 [5] x² aligned

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