If y = f(x) is a differentiable function of x such that inverse function x = f^–1 (y) exists, then prove that x is a differentiable function of y and dx/dy=1/(dy/dx) where dy/dx≠0 - Mathematics and Statistics | Shaalaa.com
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If y = f(x) is a differentiable function of x such that inverse function x = f^-1 (y) exists, then prove that x is a differentiable function of y and dxdy = 1 dydx where dydx≠ 0 .Hence find ddx(tan^-1x)
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True or False If f is a one-to-one differentiable function and if f^'(x)>0, then f has an inverse function whose derivative is positive. | Numerade
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