What is the tangent of f(x)=3x^4,\at x=-2 ?

The tangent of f(x)=3x^4,\at x=-2 is y=-96x-144

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=3x^4,\at x=-2

tangent of

f (x) = 3 x^{4}, at x = - 2

y = - 96 x - 144

Solution steps

Find the tangent point:

(- 2, 48)

Find the slope of

f (x) = 3 x^{4} : \frac{df ( x )}{d x} = 12 x^{3}

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 = - 96

Find the line with slope m=

- 96

and passing through

(- 2, 48) : y = - 96 x - 144

y = - 96 x - 144

What is the tangent of f(x)=3x^4,\at x=-2 ?
The tangent of f(x)=3x^4,\at x=-2 is y=-96x-144