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

The tangent of f(x)= 2/x ,\at x=-4 is y=-1/8 x-1

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tangent of f(x)= 2/x ,\at x=-4

tangent of

f (x) = \frac{2}{x}, at x = - 4

y = - \frac{1}{8} x - 1

Solution steps

Find the tangent point:

(- 4, - \frac{1}{2})

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 = - 4 : m = - \frac{1}{8}

Find the line with slope m=

- \frac{1}{8}

and passing through

(- 4, - \frac{1}{2}) : y = - \frac{1}{8} x - 1

y = - \frac{1}{8} x - 1

\int \frac{x ^{3}}{x ^{4} - 5} d x

\int \frac{x ^{2} - 18 x + 32}{x ( x - 4 ) ^{2}} d x

f (x) = x^{\frac{2}{5}}

2 sin (3 t) + 5 cos (3 t)

y^{^{''}} + 13 y = 0

What is the tangent of f(x)= 2/x ,\at x=-4 ?
The tangent of f(x)= 2/x ,\at x=-4 is y=-1/8 x-1