Derivative of Inverse Function
Examples with detailed solutions on how to find the derivative (Differentiation) of an inverse function, in calculus, are presented.
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| Example 1 Find the derivative dy/dx of the inverse of function f defined by
Solution to Example 1We present two methods to answer the above questionMethod 1
Method 2
Example 2Find the derivative dy / dx where y = arcsin x.Solution to Example 2
ExercisesFind the derivative of the inverse of each function.1) f(x) = 3x - 4 2) g(x) = arccos x 3) h(x) = arctan x solutions to the above exercises1) f^{ -1} ' (x) = 1 / 32) g^{ -1} ' (x) = -1 / √(1 - x^{ 2}) 3) h^{ -1} ' (x) = 1 / (1 + x^{ 2}) More References and linksInverse Functiondifferentiation and derivatives |