What is the tangent of ysqrt(x)+y^2=2x,(4,2) ?

The tangent of ysqrt(x)+y^2=2x,(4,2) is y= 1/4 x+1

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tangent of ysqrt(x)+y^2=2x,(4,2)

tangent of

y x + y^{2} = 2 x, (4, 2)

y = \frac{1}{4} x + 1

Solution steps

Find the slope of

y x + y^{2} = 2 x : \frac{d y}{d x} = \frac{4 x - y}{2 x ( 2 y + 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{1}{4}

Find the line with slope m=

\frac{1}{4}

and passing through

(4, 2) : y = \frac{1}{4} x + 1

y = \frac{1}{4} x + 1

What is the tangent of ysqrt(x)+y^2=2x,(4,2) ?
The tangent of ysqrt(x)+y^2=2x,(4,2) is y= 1/4 x+1