derivative of acos(ax)

解答

\frac{d}{d x} (a cos (a x))

- a^{2} sin (a x)

求解步骤

\frac{d}{d x} (a cos (a x))

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= a \frac{d}{d x} (cos (a x))

使用连锁律:

- sin (a x) \frac{d}{d x} (a x)

= - sin (a x) \frac{d}{d x} (a x)

\frac{d}{d x} (a x) = a

= a (- sin (a x) a)

化简

a (- sin (a x) a) : - a^{2} sin (a x)

= - a^{2} sin (a x)

\int \frac{x ^{3} + 4}{x ^{2} + 4} d x

\frac{\partial}{\partial x} (cos (x - y) + (x + y))

a re a y = x, y = 2 x 25 - x^{2}

\int_{- 2}^{2} - 2 x^{2} + 8 d x

d er i v a t i v e f (x) = \frac{- 2}{x ^{2}}