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 Exams — Sets, 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 :
- \(3 x^{2}+3\)
- \(x^{2}-\frac{1}{x^{2}}\)
- \(1+\frac{1}{x^{2}}\)
- \(3 x^{2}+\frac{3}{x^{4}}\)
Answer
(D) 3 x^ 2 + 3 x^ 4
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