(\partial)/(\partial x)(x^2+1+z^3)

解答

\frac{\partial}{\partial x} (x^{2} + 1 + z^{3})

2 x

求解步骤

\frac{\partial}{\partial x} (x^{2} + 1 + z^{3})

将

z

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (z^{3})

\frac{\partial}{\partial x} (x^{2}) = 2 x

\frac{\partial}{\partial x} (1) = 0

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

= 2 x + 0 + 0

化简

= 2 x

s l o p e (\frac{5}{8}, - 2), (- \frac{1}{4}, - \frac{1}{4})

t an g e n t y^{2} - x y - 10 = 0, (- 3, - 5)

y^{^{''}} + 6 y = - 294 x^{2} e^{6 x}

\int_{1}^{e^{5}} \frac{ln ( x )}{x ^{2}} d x

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