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 xcos(x)-sin(x)

解

導関数

x cos (x) - sin (x)

解

- x sin (x)

解答ステップ

\frac{d}{d x} (x cos (x) - sin (x))

和/差の法則を適用:

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

= \frac{d}{d x} (x cos (x)) - \frac{d}{d x} (sin (x))

\frac{d}{d x} (x cos (x)) = cos (x) - x sin (x)

\frac{d}{d x} (sin (x)) = cos (x)

= cos (x) - x sin (x) - cos (x)

簡素化

= - x sin (x)

グラフ

人気の例

(dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

derivative of (x^2+x^3)

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

derivative of (1+x^2/(1-x^2))

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

integral from 1 to 2 of (11)/(x^3+3x)

\int_{1}^{2} \frac{11}{x ^{3} + 3 x} d x

integral of 1/(x^2*sqrt(9+x^2))

\int \frac{1}{x ^{2} \cdot 9 + x ^{2}} d x