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 sin^3(x)

解

導関数

sin^{3} (x)

解

3 sin^{2} (x) cos (x)

解答ステップ

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

連鎖法則を適用:

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

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

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

= 3 (sin (x))^{2} cos (x)

簡素化

= 3 sin^{2} (x) cos (x)

グラフ

人気の例

limit as x approaches 0 of sqrt(x+1)-1

x \to 0 lim (x + 1 - 1)

integral of (4x^2+4)/((x^2-2x+2)^2)

\int \frac{4 x ^{2} + 4}{( x ^{2} - 2 x + 2 ) ^{2}} d x

(\partial)/(\partial y)(ln(x^2+y^2+1))

\frac{\partial}{\partial y} (ln (x^{2} + y^{2} + 1))

(\partial)/(\partial x)(3-(e^y)/(e^{x+1)})

\frac{\partial}{\partial x} (3 - \frac{e ^{y}}{e ^{x + 1}})

derivative f(x)=\sqrt[7]{x^6}

d er i v a t i v e f (x) = 7 x^{6}