# If f is the inverse of g, then we know that f(g(x))=x, how do you use this fact to derive the derivative formula dy/dx e^x= e^x?

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To derive the derivative formula dy/dx e^x = e^x using the fact that f is the inverse of g, you start with the composite function (f ∘ g)(x) = x and differentiate both sides with respect to x using the chain rule.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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