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
- 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text {II}$. Calculus: Differentiation: Exercises $\text {IX}$: $7$.