If y=e^ ^ -1 x and u = l og x, then dy du is

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. \[\frac{e^{\sin ^{-1} x}}{\sqrt{1-x^{2}}}\]
2. \(x e^{\sin ^{-1} x}\)
3. \[\frac{\mathrm{xe}^{\sin ^{-1} \mathrm{x}}}{\sqrt{1-\mathrm{x}^{2}}}\]
4. \(\frac{\mathrm{e}^{\sin ^{-1} \mathrm{x}}}{\mathrm{x}}\)

Answer

(C) xe ^ ^ -1 x 1- x ^ 2

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

Related practice questions

• Consider the function f (x) = max x 2 , (1 – x) 2 , 2x (1 – x) where 0 ≤ x ≤ 1 . The interval in which f (x)…
• If x is very large, the value of (x^ 2 +16 ) - (x^ 2 +9 ) is
• The sum of tangent and sub-tangent at any point of the curve y = a log (x 2 – a 2 ) varies as
• _ x 0 3^ x -2^ x 4^ x -3^ x is equal to
• Limit _ x 0 e^ x -e^ x x-x is equal to
• The set of all values of the parameters a for which the points of local minimum of the function y = 1 + a 2 x…
• If f(x)=x+ x 1+x + x (1+x)^ 2 + to ∞, then at x = 0, f (x)
• The shortest distance between the point ( 3 2 , 0 ) and the curve y= x ,(x>0) , is-

More Limit, Continuity and Differentiability questions · Browse all practice questions