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

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

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

tangent of

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

y = - x - 4

Solution steps

Find the tangent point:

(- 2, - 2)

Find the slope of

f (x) = \frac{4}{x} : \frac{df ( x )}{d x} = - \frac{4}{x ^{2}}

Compute the slope of

f (x) = \frac{4}{x}

x = - 2 : m = - 1

Find the line with slope m=

- 1

and passing through

(- 2, - 2) : y = - x - 4

y = - x - 4

\int_{1}^{8} 5 \frac{ln ( x )}{x ^{2}} d x

x \to \infty lim (0. 9^{x})

\int 2 sec (x) d x

(5, - 3), (- 9, - 6)

\int \frac{3 cos ( x )}{sin ^{2} ( x )} d x

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