(\partial)/(\partial x)(x^2+y^2)

解答

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

2 x

求解步骤

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

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

= 2 x + 0

化简

= 2 x

\int sech (x) d x

\frac{d}{d x} (4 3 x^{7} - \frac{1}{x ^{2}} + 2 x)

t an g e n t 7 x - 7 x

\frac{d}{d x} ((\frac{4 x + 1}{2 - 5 x})^{\frac{1}{3}})

d er i v a t i v e f (x) = 5 x^{2} cos (x) - 4 x