zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的微积分 >

tangent 0.72x^3-4.8x^2+0.6x+7.6

解答

切线

0.72 x^{3} - 4.8 x^{2} + 0.6 x + 7.6

解答

y = (2.16 a_{0}^{2} - 9.6 a_{0} + 0.6) x - 1.44 a_{0}^{3} + 4.8 a_{0}^{2} + 7.6

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, 0.72 a_{0}^{3} - 4.8 a_{0}^{2} + 0.6 a_{0} + 7.6)

计算

y = 0.72 x^{3} - 4.8 x^{2} + 0.6 x + 7.6

的斜率:

\frac{d y}{d x} = 2.16 x^{2} - 9.6 x + 0.6

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 = 2.16 a_{0}^{2} - 9.6 a_{0} + 0.6

找到斜率 m=

2.16 a_{0}^{2} - 9.6 a_{0} + 0.6

且穿过

(a_{0}, 0.72 a_{0}^{3} - 4.8 a_{0}^{2} + 0.6 a_{0} + 7.6)

的直线:

y = (2.16 a_{0}^{2} - 9.6 a_{0} + 0.6) x - 1.44 a_{0}^{3} + 4.8 a_{0}^{2} + 7.6

y = (2.16 a_{0}^{2} - 9.6 a_{0} + 0.6) x - 1.44 a_{0}^{3} + 4.8 a_{0}^{2} + 7.6

作图

流行的例子

derivative f(x)=2sin^4(sqrt(x))

d er i v a t i v e f (x) = 2 sin^{4} (x)

integral of x^2+e^x

\int x^{2} + e^{x} d x

tangent y=(sqrt(x))/(8x-4),\at x=2

t an g e n t y = \frac{x}{8 x - 4}, at x = 2

limit as s approaches 1 of (s^3-1)/(s-1)

s \to 1 lim (\frac{s ^{3} - 1}{s - 1})

integral from-infinity to 0 of (xe^{2x})

\int_{- \infty}^{0} (x e^{2 x}) d x