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What are the derivatives of common functions?
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1. Constant Rule: $\frac{d}{d x}(c)=0$, where $c$ is a constant.
2. Power Rule: $\frac{d}{d x}\left(x^n\right)=n x^{n-1}$, where $n$ is an integer, $n>0$.

3. $\frac{d}{d x}(\sin x)=\cos x$
4. $\frac{d}{d x}(\cos x)=-\sin x$
5. $\frac{d}{d x}\left(e^x\right)=e^x$
6. $\frac{d}{d x}(\ln x)=\frac{1}{x}$
by Diamond (71,587 points)

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