What is the tangent of f(x)= 6/x ,\at x=5 ?

The tangent of f(x)= 6/x ,\at x=5 is y=-6/25 x+12/5

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tangent of f(x)= 6/x ,\at x=5

tangent of

f (x) = \frac{6}{x}, at x = 5

y = - \frac{6}{25} x + \frac{12}{5}

Solution steps

Find the tangent point:

(5, \frac{6}{5})

Find the slope of

f (x) = \frac{6}{x} : \frac{df ( x )}{d x} = - \frac{6}{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{6}{25}

Find the line with slope m=

- \frac{6}{25}

and passing through

(5, \frac{6}{5}) : y = - \frac{6}{25} x + \frac{12}{5}

y = - \frac{6}{25} x + \frac{12}{5}

\int_{0}^{4} t e^{- t} d t

\frac{400}{25 s ( s ^{2} + 200 )}

y = tan (x), (\frac{π}{4}, 1)

\int_{8}^{12} \frac{2}{x ^{3}} d x

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

What is the tangent of f(x)= 6/x ,\at x=5 ?
The tangent of f(x)= 6/x ,\at x=5 is y=-6/25 x+12/5