Proposition: Derivative of the Exponential Function

The derivative of the exponential function $f(x)=\exp(x),$ $x\in\mathbb R,$ is $$f'(x)=\exp(x).$$

The exponential function is the only function, which equals its own derivative.

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983