If y = f ( 2 x-1 x^ 2 +1 ) and f ′ (x) = sin x 2 , then dy dx is equal to
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If y = f \(\left(\frac{2 x-1}{x^{2}+1}\right)\) and f ′ (x) = sin x2, then \(\frac{\mathrm{dy}}{\mathrm{dx}}\) is equal to
- \[\sin \left(\frac{2 x-1}{x^{2}+1}\right)^{2}\left\{\frac{x^{2}+2 x+2}{\left(x^{2}+1\right)^{2}}\right\}\]
- \[\sin \left(\frac{2 x-1}{x^{2}+1}\right)^{2}\left\{\frac{2+2 x-2 x^{2}}{\left(x^{2}+1\right)^{2}}\right\}\]
- \[\sin \left(\frac{2 x-1}{x^{2}+1}\right)^{2}\left\{\frac{2+2 x-x^{2}}{\left(x^{2}+1\right)}\right\}\]
- None of these
Answer
(B) ( 2 x-1 x^ 2 +1 )^ 2 2+2 x-2 x^ 2 (x^ 2 +1 )^ 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The set of points where the function f (x) = |x–1| e x is differentiable is
- _ x (2+x)^ 40 (4+x)^ 5 (2-x)^ 45
- _ x 1^ + x^ 2 -1 + x-1 x^ 2 -1
- The normal to the curve x=a( + ) , y=a( - ) at any point 'θ' is such that
- The left hand derivative of f(x)=[x] ( x) at x=k, k is an integer is
- _ x 0 x-x+ x^ 3 6 x^ 5 =
- Differentiate ^ -1 1+x^ 2 -1 x w.r.t. ^ -1 x .
- The function f (x) = 2x 3 – 3x 2 – 12x + 4 has
More Limit, Continuity and Differentiability questions · Browse all practice questions