Proposition: Derivative of the n-th Power Function

The derivative of the $n$-th power function \(f(x)=x^n\), \(x\in\mathbb R\), $n\in\mathbb N$, is \[f'(x)=nx^{n-1}.\]

Proofs: 1

Definitions: 1
Proofs: 2
Propositions: 3


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References

Bibliography

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