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 (sin(x+cos(x))/(sin(x)))

解

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

解

- csc^{2} (x)

解答ステップ

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

簡素化

\frac{sin ( x ) + cos ( x )}{sin ( x )} : 1 + cot (x)

= \frac{d}{d x} (1 + cot (x))

和/差の法則を適用:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (cot (x))

\frac{d}{d x} (1) = 0

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

= 0 - csc^{2} (x)

簡素化

= - csc^{2} (x)

グラフ

人気の例

結合する (ax^2)/(ln(x/4))+(bx^4)/(x-4)

j o in \frac{a x ^{2}}{ln ( \frac{x}{4} )} + \frac{b x ^{4}}{x - 4}

(\partial)/(\partial x)(3x^2y^2-1)

\frac{\partial}{\partial x} (3 x^{2} y^{2} - 1)

マクローリン sqrt(x^2-1)

ma c l a u r in x^{2} - 1

sum from n=2 to infinity of 1/(n(n+1))

n = 2 \sum \infty \frac{1}{n ( n + 1 )}

integral of x^{(-2)/3}sqrt(x^{1/3)-2}

\int x^{\frac{- 2}{3}} x^{\frac{1}{3}} - 2 d x