f(x)= e^x f'(x) =
To find the derivative of the function f(x) = e^x, we can use the chain rule
To find the derivative of the function f(x) = e^x, we can use the chain rule. The chain rule states that if we have a composite function, f(g(x)), then the derivative is given by f'(g(x)) multiplied by g'(x).
In this case, we have f(x) = e^x, where the function g(x) is simply x. Therefore, g(x) = x and g'(x) = 1 (since the derivative of x with respect to x is 1).
Using the chain rule, we find that f'(x) = e^x * 1 = e^x.
So, the derivative of f(x) = e^x is f'(x) = e^x.
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