Derivative of e^x
e^x
correct
To find the derivative of e^x, we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = x^n, then the derivative of f(x) with respect to x is given by f'(x) = n*x^(n-1).
In the case of e^x, we can rewrite it as f(x) = e^x = (e^1)^x = e^(1*x). Applying the power rule, we get f'(x) = d/dx(e^x) = (1)*e^(1*x-1) = e^x.
Therefore, the derivative of e^x with respect to x is e^x.