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

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

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

tangent of

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

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

Solution steps

Find the slope of

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

in v erse l a pl a ce \frac{1}{( ( s + 1 ) ^{2} + 4 )}

\int sin^{5} (t co) s^{4} t d t

\frac{d}{d x} (, x e^{y})

t an g e n t ln (x^{2} - 24) = x - y + 6

\int 4 cos^{2} (31 x) d x

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