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+5

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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 + 5

Solution steps

Find the tangent point:

(2, 6)

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, 6) : y = \frac{1}{2} x + 5

y = \frac{1}{2} x + 5

\frac{\partial}{\partial x} (A (e^{2 x} + 2 e^{2 x} x))

(x^{2} + y^{2})^{3} = 8 x^{2} y^{2}, (1, 1)

\frac{\partial}{\partial x} (x^{2} + y^{2} - z^{2})

\int_{- 2}^{- 1} \frac{4}{x ^{2}} d x

(13) (1 - 10)

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+5