Category:Power Rule for Derivatives
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This category contains pages concerning Power Rule for Derivatives:
Let $n \in \R$.
Let $f: \R \to \R$ be the real function defined as $\map f x = x^n$.
Then:
- $\map {f'} x = n x^{n - 1}$
everywhere that $\map f x = x^n$ is defined.
When $x = 0$ and $n = 0$, $\map {f'} x$ is undefined.
Pages in category "Power Rule for Derivatives"
The following 15 pages are in this category, out of 15 total.
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- Power Rule for Derivatives
- Power Rule for Derivatives/Corollary
- Power Rule for Derivatives/Fractional Index
- Power Rule for Derivatives/Fractional Index/Proof 1
- Power Rule for Derivatives/Fractional Index/Proof 2
- Power Rule for Derivatives/Integer Index
- Power Rule for Derivatives/Natural Number Index
- Power Rule for Derivatives/Natural Number Index/Proof by Binomial Theorem
- Power Rule for Derivatives/Natural Number Index/Proof by Difference of Two Powers
- Power Rule for Derivatives/Natural Number Index/Proof by Induction
- Power Rule for Derivatives/Rational Index
- Power Rule for Derivatives/Real Number Index
- Power Rule for Derivatives/Real Number Index/Proof 1
- Power Rule for Derivatives/Real Number Index/Proof 2