derivative of cos(2x2)

解答

\frac{d}{d x} (cos (2 x) 2)

- 4 sin (2 x)

求解步骤

\frac{d}{d x} (cos (2 x) \cdot 2)

将常数提出:

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

= 2 \frac{d}{d x} (cos (2 x))

使用连锁律:

- sin (2 x) \frac{d}{d x} (2 x)

= - sin (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 2 (- sin (2 x) \cdot 2)

化简

= - 4 sin (2 x)

\int_{- 3}^{- 2} 2 x (4 - x^{2})^{3} d x

\frac{d ^{2}}{d x ^{2}} (\frac{1}{1 + x ^{2}})

\int \frac{1}{( 3 - x ) 2 - x} d x

\frac{\partial}{\partial y} (x^{2} + x y + y^{2} + y)

d er i v a t i v e f (x) = (3 x^{3} + 1)^{2}