What is the tangent of y=2+1/x ,(2,2.5) ?

The tangent of y=2+1/x ,(2,2.5) is y=-1/4 x+3

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tangent of y=2+1/x ,(2,2.5)

tangent of

y = 2 + \frac{1}{x}, (2, 2.5)

y = - \frac{1}{4} x + 3

Solution steps

Find the slope of

y = 2 + \frac{1}{x} : \frac{d y}{d x} = - \frac{1}{x ^{2}}

Compute the slope of

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

(2, 2.5) : m = - \frac{1}{4}

Find the line with slope m=

- \frac{1}{4}

and passing through

(2, 2.5) : y = - \frac{1}{4} x + 3

y = - \frac{1}{4} x + 3

\int csc^{8} (x) d x

\int sin (x) - \frac{1}{3} sin^{3} (x) d x

\int 10 e^{- 30 t} sin (40 t) d t

\frac{d}{d x} (2 π \frac{x}{g ( x )})

y^{^{'}} - 2 y = x

What is the tangent of y=2+1/x ,(2,2.5) ?
The tangent of y=2+1/x ,(2,2.5) is y=-1/4 x+3