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人気のある微分積分 >

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

解

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

解

2 z

解答ステップ

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

x

を定数として扱う

和/差の法則を適用:

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

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

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

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

= 0 + 2 z

簡素化

= 2 z

人気の例

y^{''}+y=3sin(2t)+tcos(2t)

y^{^{''}} + y = 3 sin (2 t) + t cos (2 t)

limit as x approaches-1 of sqrt(1-x^2)

x \to - 1 lim (1 - x^{2})

derivative of (2x-1^3)

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

tangent f(x)= 1/(sqrt(5x)),\at x=9

t an g e n t f (x) = \frac{1}{5 x}, at x = 9

面積 (36)/(9+x^2),1

a re a \frac{36}{9 + x ^{2}}, 1