(\partial)/(\partial x)((e^x-3)sin(y))

解答

\frac{\partial}{\partial x} ((e^{x} - 3) sin (y))

e^{x} sin (y)

求解步骤

\frac{\partial}{\partial x} ((e^{x} - 3) sin (y))

将

y

视为常数

将常数提出:

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

= sin (y) \frac{\partial}{\partial x} (e^{x} - 3)

使用微分加减法定则:

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

= sin (y) (\frac{\partial}{\partial x} (e^{x}) - \frac{\partial}{\partial x} (3))

\frac{\partial}{\partial x} (e^{x}) = e^{x}

\frac{\partial}{\partial x} (3) = 0

= sin (y) (e^{x} - 0)

化简

= e^{x} sin (y)

d er i v a t i v e \frac{3}{x ^{2}} - 8 4 x

\frac{d}{d x} ((3 x + 2) (4 x - 3))

\frac{d}{d x} ((x^{3} - 4 x) \cdot e^{3 x})

y^{^{'''}} - 8 = 0

n = 0 \sum \infty \frac{2 n}{n ^{2}}