Basic Derivative Rules

Derivatives

Basic Rules

Constant Rule
\[f(x)=k\]

Constant Multiple Rule
\[f(x)=kx\]

Power Rule
\[f(x)= x^\mathrm{n}\]

Sum/Difference rule
\[ y= f(x) + g(x) \]

Product Rule
\[y = f(x)g(x) \]

Quotient Rule
\[y = \frac {f(x)} {g(x)} \]

Trig derivatives

\[f(x)=\sin x\]

\[f(x)=\cos x\]

\[f(x)=\tan x\]

\[f(x)=\sec x\]

\[f(x)=\csc x\]

\[f(x)=\cot x\]

\[f(x)=\tan^{-1} x\]

\begin{equation*}
\frac{d}{dx} \left[ \sin^{-1}x \right] =
\end{equation*}