What is the tangent of f(x)= 3/x ,\at x=-5 ?

The tangent of f(x)= 3/x ,\at x=-5 is y=-3/25 x-6/5

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tangent of f(x)= 3/x ,\at x=-5

tangent of

f (x) = \frac{3}{x}, at x = - 5

y = - \frac{3}{25} x - \frac{6}{5}

Solution steps

Find the tangent point:

(- 5, - \frac{3}{5})

Find the slope of

f (x) = \frac{3}{x} : \frac{df ( x )}{d x} = - \frac{3}{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{3}{25}

Find the line with slope m=

- \frac{3}{25}

and passing through

(- 5, - \frac{3}{5}) : y = - \frac{3}{25} x - \frac{6}{5}

y = - \frac{3}{25} x - \frac{6}{5}

\frac{( s ^{2} )}{s ^{2} + 1}

\int \frac{1 - x ^{2}}{1 - 2 x} d x

\int_{\frac{1}{2}}^{3} 16 x ln (2 x) d x

\frac{\partial}{\partial x} (ln (\frac{r}{ro}))

(x^{2} + y) \frac{d y}{d x} - y - 3 x^{2} = 2 y

What is the tangent of f(x)= 3/x ,\at x=-5 ?
The tangent of f(x)= 3/x ,\at x=-5 is y=-3/25 x-6/5