(\partial)/(\partial x)(3x^4+8x^3)

解答

\frac{\partial}{\partial x} (3 x^{4} + 8 x^{3})

12 x^{3} + 24 x^{2}

求解步骤

\frac{\partial}{\partial x} (3 x^{4} + 8 x^{3})

使用微分加减法定则:

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

= \frac{\partial}{\partial x} (3 x^{4}) + \frac{\partial}{\partial x} (8 x^{3})

\frac{\partial}{\partial x} (3 x^{4}) = 12 x^{3}

\frac{\partial}{\partial x} (8 x^{3}) = 24 x^{2}

= 12 x^{3} + 24 x^{2}

\frac{d}{d z} ((1 - y) z)

\frac{d y}{d x} = 3 y

\frac{\partial}{\partial y} (5 x^{2})

\int \frac{128}{w ^{2} 64 - w ^{2}} d w

\frac{\partial}{\partial x} (2^{40})