What is the tangent of g(x)=(3x)/(x-2),(4,6) ?

The tangent of g(x)=(3x)/(x-2),(4,6) is y=-3/2 x+12

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tangent of g(x)=(3x)/(x-2),(4,6)

tangent of

g (x) = \frac{3 x}{x - 2}, (4, 6)

y = - \frac{3}{2} x + 12

Solution steps

Find the slope of

g (x) = \frac{3 x}{x - 2} : \frac{d g ( x )}{d x} = - \frac{6}{( x - 2 ) ^{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{3}{2}

Find the line with slope m=

- \frac{3}{2}

and passing through

(4, 6) : y = - \frac{3}{2} x + 12

y = - \frac{3}{2} x + 12

d er i v a t i v e y = 8 x

t a y l or sin (x^{4})

a re a y = 6 x, y = 8 x^{2}

\frac{d}{d x} (\frac{x + 1}{x - 5})

d er i v a t i v e 3 ln (2)

What is the tangent of g(x)=(3x)/(x-2),(4,6) ?
The tangent of g(x)=(3x)/(x-2),(4,6) is y=-3/2 x+12