What is the tangent of y= x/(sqrt(4-x)),(3,3) ?

The tangent of y= x/(sqrt(4-x)),(3,3) is y= 5/2 x-9/2

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tangent of y= x/(sqrt(4-x)),(3,3)

tangent of

y = \frac{x}{4 - x}, (3, 3)

y = \frac{5}{2} x - \frac{9}{2}

Solution steps

Find the slope of

y = \frac{x}{4 - x} : \frac{d y}{d x} = \frac{8 - x}{2 ( 4 - x ) 4 - x}

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}{2}

Find the line with slope m=

\frac{5}{2}

and passing through

(3, 3) : y = \frac{5}{2} x - \frac{9}{2}

y = \frac{5}{2} x - \frac{9}{2}

What is the tangent of y= x/(sqrt(4-x)),(3,3) ?
The tangent of y= x/(sqrt(4-x)),(3,3) is y= 5/2 x-9/2