Derivative of Function of Constant Multiple/Examples/Sine 2 x

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Example of Derivative of Function of Constant Multiple

$\map {\dfrac \d {\d x} } {\sin 2 x} = 2 \cos 2 x$


Proof

\(\ds \map {\dfrac \d {\d x} } {\sin 2 x}\) \(=\) \(\ds 2 \map {\dfrac \d {\map \d {2 x} } } {\sin 2 x}\) Derivative of Function of Constant Multiple
\(\ds \) \(=\) \(\ds 2 \cos 2 x\) Derivative of Sine Function

$\blacksquare$


Sources