What is the tangent of f(x)=(4x)/(x-3),\at x=5 ?

The tangent of f(x)=(4x)/(x-3),\at x=5 is y=-3x+25

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tangent of f(x)=(4x)/(x-3),\at x=5

tangent of

f (x) = \frac{4 x}{x - 3}, at x = 5

y = - 3 x + 25

Solution steps

Find the tangent point:

(5, 10)

Find the slope of

f (x) = \frac{4 x}{x - 3} : \frac{df ( x )}{d x} = - \frac{12}{( x - 3 ) ^{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 = - 3

Find the line with slope m=

- 3

and passing through

(5, 10) : y = - 3 x + 25

y = - 3 x + 25

What is the tangent of f(x)=(4x)/(x-3),\at x=5 ?
The tangent of f(x)=(4x)/(x-3),\at x=5 is y=-3x+25