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 >

tangent (sin(t))/(4+4cos(t))

解

タンジェント

\frac{sin ( t )}{4 + 4 cos ( t )}

解

y = \frac{cos ( a _{0} ) ( 4 + 4 cos ( a _{0} ) ) + 4 sin ^{2} ( a _{0} )}{( 4 + 4 cos ( a _{0} ) ) ^{2}} t + \frac{4 ( sin ( a _{0} ) ( cos ( a _{0} ) + 1 ) - a _{0} ( sin ^{2} ( a _{0} ) + cos ( a _{0} ) ( cos ( a _{0} ) + 1 ) ) )}{( 4 + 4 cos ( a _{0} ) ) ^{2}}

解答ステップ

一般的なポイントへの接線を計算する

t = a_{0}

接点を見つける:

(a_{0}, \frac{sin ( a _{0} )}{4 + 4 cos ( a _{0} )})

以下の傾斜を見つける:

y = \frac{sin ( t )}{4 + 4 cos ( t )} : \frac{d y}{d t} = \frac{cos ( t ) ( 4 + 4 cos ( t ) ) + 4 sin ^{2} ( t )}{( 4 + 4 cos ( t ) ) ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{cos ( a _{0} ) ( 4 + 4 cos ( a _{0} ) ) + 4 sin ^{2} ( a _{0} )}{( 4 + 4 cos ( a _{0} ) ) ^{2}}

傾斜m=

\frac{cos ( a _{0} ) ( 4 + 4 cos ( a _{0} ) ) + 4 sin ^{2} ( a _{0} )}{( 4 + 4 cos ( a _{0} ) ) ^{2}}

で通過する線を見つける

(a_{0}, \frac{sin ( a _{0} )}{4 + 4 cos ( a _{0} )}) : y = \frac{cos ( a _{0} ) ( 4 + 4 cos ( a _{0} ) ) + 4 sin ^{2} ( a _{0} )}{( 4 + 4 cos ( a _{0} ) ) ^{2}} t + \frac{4 ( sin ( a _{0} ) ( cos ( a _{0} ) + 1 ) - a _{0} ( sin ^{2} ( a _{0} ) + cos ( a _{0} ) ( cos ( a _{0} ) + 1 ) ) )}{( 4 + 4 cos ( a _{0} ) ) ^{2}}

y = \frac{cos ( a _{0} ) ( 4 + 4 cos ( a _{0} ) ) + 4 sin ^{2} ( a _{0} )}{( 4 + 4 cos ( a _{0} ) ) ^{2}} t + \frac{4 ( sin ( a _{0} ) ( cos ( a _{0} ) + 1 ) - a _{0} ( sin ^{2} ( a _{0} ) + cos ( a _{0} ) ( cos ( a _{0} ) + 1 ) ) )}{( 4 + 4 cos ( a _{0} ) ) ^{2}}

グラフ

人気の例

integral of (x^4)/((sqrt(1-x^2))^3)

\int \frac{x ^{4}}{( 1 - x ^{2} ) ^{3}} d x

derivative x^2ln(3x)

d er i v a t i v e x^{2} ln (3 x)

integral of sqrt(x)sin(sqrt(x)y)

\int x sin (x y) d y

limit as x approaches-1 of 2x-3

x \to - 1 lim (2 x - 3)

limit as x approaches infinity of (1+8/x)^{x/9}

x \to \infty lim ((1 + \frac{8}{x})^{\frac{x}{9}})