(\partial)/(\partial x)(-2tan(x)sin(2y))

解答

\frac{\partial}{\partial x} (- 2 tan (x) sin (2 y))

- 2 sin (2 y) sec^{2} (x)

求解步骤

\frac{\partial}{\partial x} (- 2 tan (x) sin (2 y))

将

y

视为常数

将常数提出:

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

= - 2 sin (2 y) \frac{\partial}{\partial x} (tan (x))

使用常见微分定则:

\frac{\partial}{\partial x} (tan (x)) = sec^{2} (x)

= - 2 sin (2 y) sec^{2} (x)

\frac{d}{d x} (- A e^{- x})

\frac{d}{d x} (ln (g (x) (3 x^{2})))

\frac{d}{d x} (e^{2 x} sin (x))

\int \frac{y}{( y + 5 ) ( 2 y - 1 )} d y

t a y l or f (t) = ln (1 + 2 \cdot t)