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

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

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tangent of y=(2x)/(x+2),(2,1)

tangent of

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

y = \frac{1}{4} x + \frac{1}{2}

Solution steps

Find the slope of

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

Compute the slope of

y = \frac{2 x}{x + 2}

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

Find the line with slope m=

\frac{1}{4}

and passing through

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

y = \frac{1}{4} x + \frac{1}{2}

\frac{d}{d x} ((4^{x})^{9})

x \to \infty + lim (\frac{1}{0})

d x + (x - ey) d y = 0

3 x^{4} + 3 x

x \to 2 lim (x^{2} - 2 x - 2)

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