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

The tangent of f(x)= x/(x+6),\at x=1 is y= 6/49 x+1/49

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/(x+6),\at x=1

tangent of

f (x) = \frac{x}{x + 6}, at x = 1

y = \frac{6}{49} x + \frac{1}{49}

Solution steps

Find the tangent point:

(1, \frac{1}{7})

Find the slope of

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

Compute the slope of

f (x) = \frac{x}{x + 6}

x = 1 : m = \frac{6}{49}

Find the line with slope m=

\frac{6}{49}

and passing through

(1, \frac{1}{7}) : y = \frac{6}{49} x + \frac{1}{49}

y = \frac{6}{49} x + \frac{1}{49}

f (x) = 3 sec (x), - \frac{π}{6} \leq x \leq \frac{π}{6}

\frac{d y}{d x} = \frac{( x - 3 )}{y + 1}

\frac{\partial}{\partial y} (x e^{\frac{y}{z}})

\frac{d}{d x} (\frac{3}{2 - x})

\int sec^{2} (3 x + 5) d x

What is the tangent of f(x)= x/(x+6),\at x=1 ?
The tangent of f(x)= x/(x+6),\at x=1 is y= 6/49 x+1/49