Find the derivative of f(x). f(x) = e^x f′(x) = ______

Identify Function: Identify the function for which we need to find the derivative. f(x) = e^xApply Differentiation Rule: Apply the basic differentiation rule for the exponential function e^x. The derivative of e^x with respect to x is e^x. f′(x) = d/dx(e^x) = e^xCheck for Errors: Check for any possible math errors in the differentiation process. No errors are present as the differentiation rule for e^x is correctly applied.

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Find the derivative of $f(x)$ . $\newline$ $f(x) = e^x$ $\newline$ $f'\left(x\right) =$ ______

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Math Problems

Calculus

Find derivatives of exponential functions

Full solution

Q. Find the derivative of

f(x)

\newline

f(x) = e^x

\newline

f'\left(x\right) =

______

Identify Function: Identify the function for which we need to find the derivative. $f(x) = e^x$
Apply Differentiation Rule: Apply the basic differentiation rule for the exponential function $e^x$ . The derivative of $e^x$ with respect to $x$ is $e^x$ . $f'(x) = \frac{d}{dx}(e^x) = e^x$
Check for Errors: Check for any possible math errors in the differentiation process. No errors are present as the differentiation rule for $e^x$ is correctly applied.