What is the tangent of y= 2/x ,(5, 2/5) ?

The tangent of y= 2/x ,(5, 2/5) is y=-2/25 x+4/5

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tangent of y= 2/x ,(5, 2/5)

tangent of

y = \frac{2}{x}, (5, \frac{2}{5})

y = - \frac{2}{25} x + \frac{4}{5}

Solution steps

Find the slope of

y = \frac{2}{x} : \frac{d y}{d x} = - \frac{2}{x ^{2}}

Compute the slope of

y = \frac{2}{x}

(5, \frac{2}{5}) : m = - \frac{2}{25}

Find the line with slope m=

- \frac{2}{25}

and passing through

(5, \frac{2}{5}) : y = - \frac{2}{25} x + \frac{4}{5}

y = - \frac{2}{25} x + \frac{4}{5}

\int - 2 x^{- 3} d x

y^{2} = 2 x, x = 2 y

x^{2} y^{^{''}} + x y^{^{'}} - 4 y = 0

\frac{d}{d x} (cos (x) + cot (x) + csc (x) + 3 e^{x})

n = 0 \sum \infty (\frac{2}{3})^{- n}

What is the tangent of y= 2/x ,(5, 2/5) ?
The tangent of y= 2/x ,(5, 2/5) is y=-2/25 x+4/5