What is the tangent of x^2+2 ?

The tangent of x^2+2 is y=2a_{0}x-a_{0}^2+2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of x^2+2

tangent of

x^{2} + 2

y = 2 a_{0} x - a_{0}^{2} + 2

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, a_{0}^{2} + 2)

Find the slope of

y = x^{2} + 2 : \frac{d y}{d x} = 2 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 = 2 a_{0}

Find the line with slope m=

2 a_{0}

and passing through

(a_{0}, a_{0}^{2} + 2) : y = 2 a_{0} x - a_{0}^{2} + 2

y = 2 a_{0} x - a_{0}^{2} + 2