What is the tangent of f(x)=2x+1+6/x ,\at x=2 ?

The tangent of f(x)=2x+1+6/x ,\at x=2 is y= 1/2 x+7

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tangent of f(x)=2x+1+6/x ,\at x=2

tangent of

f (x) = 2 x + 1 + \frac{6}{x}, at x = 2

y = \frac{1}{2} x + 7

Solution steps

Find the tangent point:

(2, 8)

Find the slope of

f (x) = 2 x + 1 + \frac{6}{x} : \frac{df ( x )}{d x} = - \frac{6}{x ^{2}} + 2

Compute the slope of

f (x) = 2 x + 1 + \frac{6}{x}

x = 2 : m = \frac{1}{2}

Find the line with slope m=

\frac{1}{2}

and passing through

(2, 8) : y = \frac{1}{2} x + 7

y = \frac{1}{2} x + 7

sin (4 x)

x \to 0 + lim (\frac{2}{x ^{2} - x})

y = cos (5 x + 1)

\frac{6 x}{x + 3}

\frac{d}{d x} (\frac{x - 2}{x - 4})

What is the tangent of f(x)=2x+1+6/x ,\at x=2 ?
The tangent of f(x)=2x+1+6/x ,\at x=2 is y= 1/2 x+7