What is the tangent of f(x)=(4x)/(x-5),(7,14) ?

The tangent of f(x)=(4x)/(x-5),(7,14) is y=-5x+49

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tangent of f(x)=(4x)/(x-5),(7,14)

tangent of

f (x) = \frac{4 x}{x - 5}, (7, 14)

y = - 5 x + 49

Solution steps

Find the slope of

f (x) = \frac{4 x}{x - 5} : \frac{df ( x )}{d x} = - \frac{20}{( x - 5 ) ^{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 = - 5

Find the line with slope m=

- 5

and passing through

(7, 14) : y = - 5 x + 49

y = - 5 x + 49

What is the tangent of f(x)=(4x)/(x-5),(7,14) ?
The tangent of f(x)=(4x)/(x-5),(7,14) is y=-5x+49