MathLiveDerivative of the exponential function
The derivative of the natural exponential function e^x is itself, so the slope at every point equals the function's value. It is a basic rule of differential calculus used whenever exponential growth or decay is differentiated.
\frac{d}{dx}e^{x}=e^{x}What the symbols mean
| independent variable | |
| Euler's number, approximately 2.71828 |
About this formula
- FieldMathematics
- TopicDifferential calculus
- LevelHigh school
- Also calledexponential derivative, derivative of exp(x), differentiation of exponential function, calculus exponential rule
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