derivative y=78-12cos(x)

解答

导数

y = 78 - 12 cos (x)

12 sin (x)

求解步骤

\frac{d}{d x} (78 - 12 cos (x))

使用微分加减法定则:

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

= \frac{d}{d x} (78) - \frac{d}{d x} (12 cos (x))

\frac{d}{d x} (78) = 0

\frac{d}{d x} (12 cos (x)) = - 12 sin (x)

= 0 - (- 12 sin (x))

化简

= 12 sin (x)

x \to 0 lim (\frac{1 - 1}{x ^{2}})

t \to 0 lim ((t + e^{t})^{\frac{2}{t}})

\frac{d x}{3 d t} - 2 e^{- t} = - x

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

\frac{\partial}{\partial x} (3 e^{2 x})