What is the tangent of 4/x ,\at x=-5 ?

The tangent of 4/x ,\at x=-5 is y=-4/25 x-8/5

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tangent of 4/x ,\at x=-5

tangent of

\frac{4}{x}, at x = - 5

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

Solution steps

Find the tangent point:

(- 5, - \frac{4}{5})

Find the slope of

y = \frac{4}{x} : \frac{d y}{d x} = - \frac{4}{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{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}

\int 5 x cos (3 x) d x

\int \frac{1}{( 4 x ^{2} - 4 x - 3 ) ^{\frac{3}{2}}} d x

4 + 0.45 \cdot sin (\frac{2 π t}{3.7})

\int 19 x e^{- x^{2}} d x

3 x 3 x 3 x

What is the tangent of 4/x ,\at x=-5 ?
The tangent of 4/x ,\at x=-5 is y=-4/25 x-8/5