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Proposition: Derivative of General Powers of Positive Numbers

The derivative of the general power function of positive numbers $f(x)=x^a,$ $x > 0,$ is given for all $a\in\mathbb R$ by $$\frac{dx^a}{dx}=ax^{a-1}.$$

Table of Contents

Proofs: 1

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References

Bibliography

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