derivative of 32cos(2x)

解答

\frac{d}{d x} (32 cos (2 x))

- 64 sin (2 x)

求解步骤

\frac{d}{d x} (32 cos (2 x))

将常数提出:

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

= 32 \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

= 32 (- sin (2 x) \cdot 2)

化简

= - 64 sin (2 x)

x \to - 2 lim (3)

\frac{d}{d x} (8 sec^{2} (x))

\int_{1}^{2} x e^{x^{2}} d x

\int - 2 tan (2 y) d y

a re a 12 - x^{2}, x^{2} - 6, [- 3, 3]