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3.11: Derivatives of Inverse Functions
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Let’s see if you understand inverse functions
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A very important rule to note with inverse functions is that
Let’s test this out so you understand what is being said
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Using this concept we will come up with the rule that we will use on ALL derivative of inverse function problems on the AP exam. if
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Let f(x) be a differentiable function. If f(2)=5, f(3)=2 and f’(3)=-6
Let f(x) be a differentiable function. If f(2)=5, f(3)=2 and f’(3)=-6. The function g(x) is differentiable and g(x) is the inverse of f(x). What is the value of g’(2)?
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If f(x) is differentiable and defined by the function
and find g’(5).
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