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(x^2+pi)

解

導関数

sin (x^{2} + π)

解

- cos (x^{2}) \cdot 2 x

解答ステップ

\frac{d}{d x} (sin (x^{2} + π))

簡素化

sin (x^{2} + π) : - sin (x^{2})

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

定数を除去:

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

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

連鎖法則を適用:

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

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

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

= - cos (x^{2}) \cdot 2 x

グラフ

人気の例

derivative 2sqrt(x)-1/(2sqrt(x))

d er i v a t i v e 2 x - \frac{1}{2 x}

derivative y=arcsin(x^4)

d er i v a t i v e y = arcsin (x^{4})

(\partial)/(\partial x)(1/((1+x)))

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

derivative (x^2-3x+1)sqrt(25-x^2)

d er i v a t i v e (x^{2} - 3 x + 1) 25 - x^{2}

limit as x approaches 1 of 7e^{x-1}

x \to 1 lim (7 e^{x - 1})