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人気のある微分積分 >

(\partial)/(\partial x)(xz^2t)

解

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

解

z^{2} t

解答ステップ

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

z, t

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

共通の導関数を適用:

\frac{\partial}{\partial x} (x) = 1

= z^{2} t \cdot 1

簡素化

= z^{2} t

人気の例

integral of (x^5-6x^3-6x^2-8)/(x^3-6x)

\int \frac{x ^{5} - 6 x ^{3} - 6 x ^{2} - 8}{x ^{3} - 6 x} d x

(y^')/(y^{'')}= 1/3

\frac{y ^{^{'}}}{y ^{^{''}}} = \frac{1}{3}

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\int (sec (x) + cot (x))^{2} d x

derivative of (6x^2+5(3x+sqrt(x)))

\frac{d}{d x} ((6 x^{2} + 5) (3 x + x))

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