(\partial)/(\partial x)(sin(2y-5x))

解答

\frac{\partial}{\partial x} (sin (2 y - 5 x))

- 5 cos (2 y - 5 x)

求解步骤

\frac{\partial}{\partial x} (sin (2 y - 5 x))

将

y

视为常数

使用连锁律:

cos (2 y - 5 x) \frac{\partial}{\partial x} (2 y - 5 x)

= cos (2 y - 5 x) \frac{\partial}{\partial x} (2 y - 5 x)

\frac{\partial}{\partial x} (2 y - 5 x) = - 5

= cos (2 y - 5 x) (- 5)

化简

= - 5 cos (2 y - 5 x)

x \to 2 lim (2 x^{2} - 7 x + 5)

\int_{0}^{\frac{1}{3}} x arcsin (3 x) d x

d er i v a t i v e \frac{e ^{x}}{9 x ^{2}}

\frac{d}{d x} (cot (7 x - 3))

x \to - 6 lim (\frac{x ^{2} - 9}{6 - x})