What is the tangent of f(x)=sqrt(5x+11),\at x=5 ?

The tangent of f(x)=sqrt(5x+11),\at x=5 is y= 5/12 x+47/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of f(x)=sqrt(5x+11),\at x=5

tangent of

f (x) = 5 x + 11, at x = 5

y = \frac{5}{12} x + \frac{47}{12}

Solution steps

Find the tangent point:

(5, 6)

Find the slope of

f (x) = 5 x + 11 : \frac{df ( x )}{d x} = \frac{5}{2 5 x + 11}

Compute the slope of

f (x) = 5 x + 11

x = 5 : m = \frac{5}{12}

Find the line with slope m=

\frac{5}{12}

and passing through

(5, 6) : y = \frac{5}{12} x + \frac{47}{12}

y = \frac{5}{12} x + \frac{47}{12}

\frac{d}{d x} (- 7 x^{2})

\frac{5 s + 12}{s + 3}

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

\frac{2}{( s ^{2} - 2 s + 9 )}

\frac{d}{d x} (- 5 x^{\frac{1}{3}})

What is the tangent of f(x)=sqrt(5x+11),\at x=5 ?
The tangent of f(x)=sqrt(5x+11),\at x=5 is y= 5/12 x+47/12