What is the tangent of f(x)= x/((7x-6)^6),\at x=1 ?

The tangent of f(x)= x/((7x-6)^6),\at x=1 is y=-41x+42

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of f(x)= x/((7x-6)^6),\at x=1

tangent of

f (x) = \frac{x}{( 7 x - 6 ) ^{6}}, at x = 1

y = - 41 x + 42

Solution steps

Find the tangent point:

(1, 1)

Find the slope of

f (x) = \frac{x}{( 7 x - 6 ) ^{6}} : \frac{df ( x )}{d x} = \frac{- 6 - 35 x}{( 7 x - 6 ) ^{7}}

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 = - 41

Find the line with slope m=

- 41

and passing through

(1, 1) : y = - 41 x + 42

y = - 41 x + 42

\frac{\partial}{\partial x} (3000 + \frac{400}{x + 3})

\frac{d}{d x} (\frac{x}{x ^{2} + 169})

y = x^{x^{3}}

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

\int \frac{1}{- x ^{2} - 4 x + 21} d x

What is the tangent of f(x)= x/((7x-6)^6),\at x=1 ?
The tangent of f(x)= x/((7x-6)^6),\at x=1 is y=-41x+42