Simplifying the Chain Rule: Finding the Derivative of e^x

(e^x)’

To find the derivative of e^x, we can use the chain rule

To find the derivative of e^x, we can use the chain rule.

The chain rule states that if we have a composite function, f(g(x)), the derivative of the composite function with respect to x is given by the derivative of the outer function evaluated at the inner function times the derivative of the inner function with respect to x.

In this case, our composite function is e^x. The outer function is e^x, and the inner function is x.

The derivative of e^x with respect to x is simply the exponential function itself, e^x.

So, (e^x)’ = e^x.

Therefore, the derivative of e^x is e^x.

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