(\partial)/(\partial x)(35x^6y^4-24x^5y^3)

解答

\frac{\partial}{\partial x} (35 x^{6} y^{4} - 24 x^{5} y^{3})

210 y^{4} x^{5} - 120 y^{3} x^{4}

求解步骤

\frac{\partial}{\partial x} (35 x^{6} y^{4} - 24 x^{5} y^{3})

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} (35 x^{6} y^{4}) - \frac{\partial}{\partial x} (24 x^{5} y^{3})

\frac{\partial}{\partial x} (35 x^{6} y^{4}) = 210 y^{4} x^{5}

\frac{\partial}{\partial x} (24 x^{5} y^{3}) = 120 y^{3} x^{4}

= 210 y^{4} x^{5} - 120 y^{3} x^{4}

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

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

k = 1 \sum \infty e^{- k}

x \to \infty lim (e^{x} - x)

3 v + \frac{d v}{d x} = 0