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

The tangent of f(x)= 1/x ,\at x=-4 is y=-1/16 x-1/2

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tangent of f(x)= 1/x ,\at x=-4

tangent of

f (x) = \frac{1}{x}, at x = - 4

y = - \frac{1}{16} x - \frac{1}{2}

Solution steps

Find the tangent point:

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

Find the slope of

f (x) = \frac{1}{x} : \frac{df ( x )}{d x} = - \frac{1}{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{1}{16}

Find the line with slope m=

- \frac{1}{16}

and passing through

(- 4, - \frac{1}{4}) : y = - \frac{1}{16} x - \frac{1}{2}

y = - \frac{1}{16} x - \frac{1}{2}

\int \frac{1}{2 x ^{2} ( x + 1 )} d x

x (1 - 9 x^{3})

x \to 2 + lim (2 x + 2 + x)

\int \frac{x ^{3}}{( x + 1 )} d x

\int e^{- 0.6 x} d x

What is the tangent of f(x)= 1/x ,\at x=-4 ?
The tangent of f(x)= 1/x ,\at x=-4 is y=-1/16 x-1/2