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

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

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

tangent of

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

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

Solution steps

Find the slope of

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

y^{^{''}} + 12 y^{^{'}} + 35 y = 0

x \to 0 lim (\frac{4 - x}{x ^{2}})

\frac{5 ^{x^{3}}}{4 x ^{2}}

y = ln (x - 9)

\int_{0}^{1} \frac{2 x}{1 + x ^{2}} d x

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