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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 dx/dy=1/(dy/dx) where dy/dx≠0 - Mathematics and Statistics | Shaalaa.com

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 -

If y = f(x) is a differentiable function of x such that inverse ...

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