If f(x) and g(x) are two functions with g(x) = x- 1 x and f g(x)=x^ 3 - 1 x^ 3 , then f^…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(f(x)\) and \(g(x)\)are two functions with \(g(x)\) = \(x-\frac{1}{x} \text { and } f \circ g(x)=x^{3}-\frac{1}{x^{3}}\), then \(f^{\prime}(\mathbf{x})\) is :
  1. \(3 x^{2}+3\)
  2. \(x^{2}-\frac{1}{x^{2}}\)
  3. \(1+\frac{1}{x^{2}}\)
  4. \(3 x^{2}+\frac{3}{x^{4}}\)

Answer

(D) 3 x^ 2 + 3 x^ 4

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Sets, Relations and Functions questions · Browse all practice questions