What is the tangent of y=(sqrt(x))/(x+4),(1,0.2) ?

The tangent of y=(sqrt(x))/(x+4),(1,0.2) is y= 3/50 x+0.14

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tangent of y=(sqrt(x))/(x+4),(1,0.2)

tangent

y = \frac{3}{50} x + 0.14

Solution steps

Find the slope of

y = \frac{x}{x + 4} : \frac{d y}{d x} = \frac{- x + 4}{2 x ( x + 4 ) ^{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}{50}

Find the line with slope m=

\frac{3}{50}

and passing through

(1, 0.2) : y = \frac{3}{50} x + 0.14

y = \frac{3}{50} x + 0.14

What is the tangent of y=(sqrt(x))/(x+4),(1,0.2) ?
The tangent of y=(sqrt(x))/(x+4),(1,0.2) is y= 3/50 x+0.14