(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 function of the form f(g(x)), where f and g are both differentiable functions, then the derivative of f with respect to x is given by f'(g(x)) times g'(x).
In this case, f(u) = e^u and g(x) = x.
We can start by finding the derivative of f(u) = e^u. The derivative of e^u is simply itself, so f'(u) = e^u.
Next, we find the derivative of g(x) = x. The derivative of x with respect to x is simply 1, so g'(x) = 1.
Now, applying the chain rule, we have:
(e^x)’ = f'(g(x)) * g'(x)
= e^(g(x)) * g'(x)
= e^x * 1
= e^x
Therefore, the derivative of e^x is e^x.
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