What is the tangent of f(x)= 4/x ,(5, 4/5) ?

The tangent of f(x)= 4/x ,(5, 4/5) is y=-4/25 x+8/5

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tangent of f(x)= 4/x ,(5, 4/5)

tangent of

f (x) = \frac{4}{x}, (5, \frac{4}{5})

y = - \frac{4}{25} x + \frac{8}{5}

Solution steps

Find the slope of

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

Compute the slope of

f (x) = \frac{4}{x}

(5, \frac{4}{5}) : m = - \frac{4}{25}

Find the line with slope m=

- \frac{4}{25}

and passing through

(5, \frac{4}{5}) : y = - \frac{4}{25} x + \frac{8}{5}

y = - \frac{4}{25} x + \frac{8}{5}

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What is the tangent of f(x)= 4/x ,(5, 4/5) ?
The tangent of f(x)= 4/x ,(5, 4/5) is y=-4/25 x+8/5