Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also differentiable. One...

  

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Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also differentiable. One can show, using implicit differentiation (do it!), that Find (f)'(-4) if f(1) = -4 and f'(1) = 3/5. (-)'(-4) = 1 (f-)'(x) f'(f(x)) Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also differentiable. One can show, using implicit differentiation (do it!), that Find (f)'(-4) if f(1) = -4 and f'(1) = 3/5. (-)'(-4) = 1 (f-)'(x) f'(f(x))

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The formula derived using implicit differentiation states that the derivative of the inverse ... View the full answer