ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

derivative of ax^3+bx^2+cx

解

\frac{d}{d x} (a x^{3} + b x^{2} + c x)

解

3 a x^{2} + 2 b x + c

解答ステップ

\frac{d}{d x} (a x^{3} + b x^{2} + c x)

和/差の法則を適用:

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

= \frac{d}{d x} (a x^{3}) + \frac{d}{d x} (b x^{2}) + \frac{d}{d x} (c x)

\frac{d}{d x} (a x^{3}) = 3 a x^{2}

\frac{d}{d x} (b x^{2}) = 2 b x

\frac{d}{d x} (c x) = c

= 3 a x^{2} + 2 b x + c

グラフ

人気の例

(\partial ^2)/(\partial x\partial y)(x^2-e^{y^2})

\frac{\partial ^{2}}{\partial x \partial y} (x^{2} - e^{y^{2}})

integral from 0 to y^3 of xe^{(-x)/y}

\int_{0}^{y^{3}} x e^{\frac{- x}{y}} d x

integral of-2-2/x

\int - 2 - \frac{2}{x} d x

(dy}{dx}=\frac{2x^2)/y

\frac{d y}{d x} = \frac{2 x ^{2}}{y}

derivative of 2x^{2/3}

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