What is the tangent of y=(sqrt(x))/(x+6),(4,0.2) ?

The tangent of y=(sqrt(x))/(x+6),(4,0.2) is y= 1/200 x+0.18

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tangent of y=(sqrt(x))/(x+6),(4,0.2)

tangent of

y = \frac{x}{x + 6}, (4, 0.2)

y = \frac{1}{200} x + 0.18

Solution steps

Find the slope of

y = \frac{x}{x + 6} : \frac{d y}{d x} = \frac{- x + 6}{2 x ( x + 6 ) ^{2}}

Compute the slope of

y = \frac{x}{x + 6}

(4, 0.2) : m = \frac{1}{200}

Find the line with slope m=

\frac{1}{200}

and passing through

(4, 0.2) : y = \frac{1}{200} x + 0.18

y = \frac{1}{200} x + 0.18

\int x^{2} (x^{3} - 11)^{6} d x

n = 1 \sum \infty \frac{1}{1 + 2 ^{n}}

ln (1 + x^{5})

\int x^{2} 11 + x^{3} d x

f (x) = tan (3 x)

What is the tangent of y=(sqrt(x))/(x+6),(4,0.2) ?
The tangent of y=(sqrt(x))/(x+6),(4,0.2) is y= 1/200 x+0.18