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

The tangent of f(x)=(7x)/(x-1),\at x=2 is y=-7x+28

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

tangent of

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

y = - 7 x + 28

Solution steps

Find the tangent point:

(2, 14)

Find the slope of

f (x) = \frac{7 x}{x - 1} : \frac{df ( x )}{d x} = - \frac{7}{( x - 1 ) ^{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 = - 7

Find the line with slope m=

- 7

and passing through

(2, 14) : y = - 7 x + 28

y = - 7 x + 28

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\int - \frac{x + 37}{4} d x

2 x y \frac{d y}{d x} = 4 x^{2} + 3 y^{2}

\int v^{3} d v

What is the tangent of f(x)=(7x)/(x-1),\at x=2 ?
The tangent of f(x)=(7x)/(x-1),\at x=2 is y=-7x+28