(\partial)/(\partial y)(x^6-8x^5y)

解答

\frac{\partial}{\partial y} (x^{6} - 8 x^{5} y)

- 8 x^{5}

求解步骤

\frac{\partial}{\partial y} (x^{6} - 8 x^{5} y)

将

x

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial y} (x^{6}) - \frac{\partial}{\partial y} (8 x^{5} y)

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

\frac{\partial}{\partial y} (8 x^{5} y) = 8 x^{5}

= 0 - 8 x^{5}

化简

= - 8 x^{5}

d er i v a t i v e g (x) = 4 x^{2} + 10 x - 1

\int_{- 2}^{0} x^{2} + x - 1 d x

x \to 0 lim (\frac{( tan ( 2 x ) )}{x})

d er i v a t i v e 7 x + 1

\frac{d}{d x} (6 arcsinh (tan (x)))