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Published byAda Hensley Modified over 9 years ago
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The Derivative of Inverse Function
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Example (1) Let f(x)=x 3 Find the value at x=8 of the derivative of f -1
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Checking Let’s check or answer by first finding the inverse function of f, then finding the derivative of this inverse function and lastly the value of this derivative at 8.
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Why, then, we need a formula for the derivative of the inverse function? Why not just to proceed as shown in the previous slide? Because it is not always easy to find the inverse function!
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Example (2) Let f(x)=3cosx + 4x + 2 Assuming this function is one-to-one, Find the value at x=5 of the derivative of f -1
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