(\partial)/(\partial x)(sin(x)+cos(-6y))

解答

\frac{\partial}{\partial x} (sin (x) + cos (- 6 y))

cos (x)

求解步骤

\frac{\partial}{\partial x} (sin (x) + cos (- 6 y))

化简

sin (x) + cos (- 6 y) : cos (6 y) + sin (x)

= \frac{\partial}{\partial x} (cos (6 y) + sin (x))

将

y

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (cos (6 y)) + \frac{\partial}{\partial x} (sin (x))

\frac{\partial}{\partial x} (cos (6 y)) = 0

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= 0 + cos (x)

化简

= cos (x)

\frac{\partial}{\partial x} (\frac{5 x y ^{2}}{x ^{2} + y ^{4}})

in v erse l a pl a ce \frac{20}{s \cdot ( s + 10 )}

t \to 7 lim \frac{( t - 7 ) ^{3}}{t - 7}

n = 0 \sum \infty \frac{1}{10 n + 1}

\int (x^{3} - x) d x