d/dx eˣ
To find the derivative of e^x with respect to x, we can use the chain rule
To find the derivative of e^x with respect to x, we can use the chain rule. The chain rule states that if we have a function of the form f(g(x)), then the derivative with respect to x is given by the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.
In this case, we have f(x) = e^x, which is the outer function, and g(x) = x, which is the inner function.
The derivative of f(x) = e^x with respect to x is simply e^x itself.
The derivative of g(x) = x with respect to x is 1.
Now, applying the chain rule, we multiply the derivative of the outer function (e^x) evaluated at the inner function (x), with the derivative of the inner function (1):
(d/dx) e^x = e^x * 1 = e^x
So, the derivative of e^x with respect to x is e^x.
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