What is the tangent of f(x)=(5x)/(x+2),\at x=3 ?

The tangent of f(x)=(5x)/(x+2),\at x=3 is y= 2/5 x+9/5

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tangent of f(x)=(5x)/(x+2),\at x=3

tangent of

f (x) = \frac{5 x}{x + 2}, at x = 3

y = \frac{2}{5} x + \frac{9}{5}

Solution steps

Find the tangent point:

(3, 3)

Find the slope of

f (x) = \frac{5 x}{x + 2} : \frac{df ( x )}{d x} = \frac{10}{( 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{2}{5}

Find the line with slope m=

\frac{2}{5}

and passing through

(3, 3) : y = \frac{2}{5} x + \frac{9}{5}

y = \frac{2}{5} x + \frac{9}{5}

\int_{0}^{1} e^{t} d t

\int p (p + 8)^{5} d p

n = 1 \sum \infty 0.75 \cdot 0. 5^{n - 1}

\int e^{(2 x)} d x

\frac{\partial}{\partial y} (x^{2} - 2 x y + 3 y^{2})

What is the tangent of f(x)=(5x)/(x+2),\at x=3 ?
The tangent of f(x)=(5x)/(x+2),\at x=3 is y= 2/5 x+9/5