What is the tangent of f(x)= 2/x ,\at x=-5 ?

The tangent of f(x)= 2/x ,\at x=-5 is y=-2/25 x-4/5

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tangent of f(x)= 2/x ,\at x=-5

tangent of

f (x) = \frac{2}{x}, at x = - 5

y = - \frac{2}{25} x - \frac{4}{5}

Solution steps

Find the tangent point:

(- 5, - \frac{2}{5})

Find the slope of

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

Compute the slope of

f (x) = \frac{2}{x}

x = - 5 : m = - \frac{2}{25}

Find the line with slope m=

- \frac{2}{25}

and passing through

(- 5, - \frac{2}{5}) : y = - \frac{2}{25} x - \frac{4}{5}

y = - \frac{2}{25} x - \frac{4}{5}

\int_{0}^{1} x^{- \frac{1}{3}} d x

\int 4 x^{3} e^{2 x} d x

\int \frac{17.6 \cdot 15.24}{17.6 \cdot 0 ^{2} + 1}

x \to 0 lim (4 x^{2} + 3)

9 y^{^{''}} - 9 y^{^{'}} - 4 y = 0

What is the tangent of f(x)= 2/x ,\at x=-5 ?
The tangent of f(x)= 2/x ,\at x=-5 is y=-2/25 x-4/5