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

The tangent of f(x)=(2x-1)/(x+7),\at x=2 is y= 5/27 x-1/27

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tangent of f(x)=(2x-1)/(x+7),\at x=2

tangent of

f (x) = \frac{2 x - 1}{x + 7}, at x = 2

y = \frac{5}{27} x - \frac{1}{27}

Solution steps

Find the tangent point:

(2, \frac{1}{3})

Find the slope of

f (x) = \frac{2 x - 1}{x + 7} : \frac{df ( x )}{d x} = \frac{15}{( x + 7 ) ^{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{5}{27}

Find the line with slope m=

\frac{5}{27}

and passing through

(2, \frac{1}{3}) : y = \frac{5}{27} x - \frac{1}{27}

y = \frac{5}{27} x - \frac{1}{27}

f (x) = \frac{1}{2 x}, at x = 100

sin (e^{- 2 q})

\int (cos^{2} (2 x)) d x

\frac{\partial}{\partial y} (x^{2} y e^{x})

(0) (2.6)

What is the tangent of f(x)=(2x-1)/(x+7),\at x=2 ?
The tangent of f(x)=(2x-1)/(x+7),\at x=2 is y= 5/27 x-1/27