(\partial)/(\partial x)(cos(x+y+z))

解答

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

- sin (x + y + z)

求解步骤

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

将

y, z

视为常数

使用连锁律:

- sin (x + y + z) \frac{\partial}{\partial x} (x + y + z)

= - sin (x + y + z) \frac{\partial}{\partial x} (x + y + z)

\frac{\partial}{\partial x} (x + y + z) = 1

= - sin (x + y + z) \cdot 1

化简

= - sin (x + y + z)

k = 1 \sum \infty \frac{2}{3} (1.5)^{k - 1}

f (x) = cos (3 x^{2})

d er i v a t i v e \frac{x}{x + 7}

y^{^{'}} = \frac{3 x ^{2} 16 + y ^{2}}{y}

\frac{d}{d t} (t e^{3 t})