Derivative of Function of Constant Multiple/Examples

From ProofWiki
Jump to navigation Jump to search

Examples of Derivative of Function of Constant Multiple

Example: $\sin 2 x$

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


Example: $\map \cos {a x + b}$

$\map {\dfrac \d {\d x} } {\map \cos {a x + b} } = -a \map \sin {a x + b}$


Example: $\map \sec {a x + b}$

$\map {\dfrac \d {\d x} } {\map \sec {a x + b} } = a \map \sec {a x + b} \map \tan {a x + b}$