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 of

y = \frac{x}{x + 4}, (1, 0.2)

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}}

Compute the slope of

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

(1, 0.2) : 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

\frac{d}{d y} (- 2 y)

(1 - 3 sin (4 t))^{2}

3 x - 1

\frac{\partial}{\partial x} (ln (16 x^{2} - 13 y^{2}))

f (y) = 2 x^{2} + 3 x y + 4 y^{2} + 5 x + 6 y - 7

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