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 f(x)=-7x^4+11x^2-4,\at x=1

解答

切线

f (x) = - 7 x^{4} + 11 x^{2} - 4, at x = 1

解答

y = - 6 x + 6

求解步骤

找到切点:

(1, 0)

计算

f (x) = - 7 x^{4} + 11 x^{2} - 4

的斜率:

\frac{df ( x )}{d x} = - 28 x^{3} + 22 x

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 = - 6

找到斜率 m=

- 6

且穿过

(1, 0)

的直线:

y = - 6 x + 6

y = - 6 x + 6

作图

流行的例子

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

\int \frac{1}{x ^{2} + 4 x - 1} d x

integral of 1/(\sqrt[3]{x-3)}

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

derivative x^2+25

d er i v a t i v e x^{2} + 25

d/(dy)(e^{x^2-y^2}cos(2xy))

\frac{d}{d y} (e^{x^{2} - y^{2}} cos (2 x y))

limit as x approaches 0 of (5x^2-2x)/x

x \to 0 lim (\frac{5 x ^{2} - 2 x}{x})