Derivative of e^x with respect to x | Using the Chain Rule

d/dx eˣ

To find the derivative of eˣ with respect to x, we can use the chain rule

To find the derivative of eˣ with respect to x, we can use the chain rule. The chain rule states that if you have a composite function f(g(x)), the derivative of f(g(x)) with respect to x is given by f'(g(x)) * g'(x).

In this case, we have eˣ as our function f(g(x)), where f(x) = eˣ and g(x) = x.

The derivative of f(x) = eˣ with respect to x is simply eˣ itself, as the derivative of the exponential function eˣ is equal to the function itself.

So, the derivative of eˣ with respect to x is eˣ.

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