d/dx[e^x]
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 f(g(x)), the derivative of f with respect to x is given by f'(g(x)) multiplied by g'(x).
In this case, we have f(x) = e^x. The derivative of f(x) with respect to x, denoted as f'(x) or df/dx, is what we need to find. Using the chain rule, we have:
f'(x) = (e^x)’ * (x)
Now, let’s find the derivative of e^x. The derivative of e^x with respect to x can simply be calculated as e^x since the derivative of e^x is itself. Therefore, (e^x)’ = e^x.
Substituting this result back into our equation, we have:
f'(x) = e^x * (x)
So, the derivative of e^x with respect to x is e^x multiplied by x.
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