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Question

Mathematics Question on composite of functions

If f(x) and g(x) are two functions with g(x) = x1xx-\frac{1}{x} and fog(x) = x31x3x^3-\frac{1}{x^3} then f'(x) =

A

x21x2x^2-\frac{1}{x^2}

B

3x2 + 3

C

11x21-\frac{1}{x^2}

D

3x2+3x43x^2+\frac{3}{x^4}

Answer

3x2 + 3

Explanation

Solution

The correct answer is (B) : 3x2 + 3.