What is the tangent of f(x)= 2/(3x+5),\at x=-1 ?

The tangent of f(x)= 2/(3x+5),\at x=-1 is y=-3/2 x-1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of f(x)= 2/(3x+5),\at x=-1

tangent of

f (x) = \frac{2}{3 x + 5}, at x = - 1

y = - \frac{3}{2} x - \frac{1}{2}

Solution steps

Find the tangent point:

(- 1, 1)

Find the slope of

f (x) = \frac{2}{3 x + 5} : \frac{df ( x )}{d x} = - \frac{6}{( 3 x + 5 ) ^{2}}

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 = - \frac{3}{2}

Find the line with slope m=

- \frac{3}{2}

and passing through

(- 1, 1) : y = - \frac{3}{2} x - \frac{1}{2}

y = - \frac{3}{2} x - \frac{1}{2}

4 y^{^{''}} - 4 y^{^{'}} + 50 y = 0

y = 8^{x}

\int \frac{1 - 2 x - x ^{2}}{x ^{3} + x ^{2} - 3 x + 1} d x

x \to 3 lim (\frac{- x + 6}{- 2 - 1})

\frac{d}{d x} (k x e^{x})

What is the tangent of f(x)= 2/(3x+5),\at x=-1 ?
The tangent of f(x)= 2/(3x+5),\at x=-1 is y=-3/2 x-1/2