What is the tangent of f(x)= 5/x ,(-4,-5/4) ?

The tangent of f(x)= 5/x ,(-4,-5/4) is y=-5/16 x-5/2

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tangent of f(x)= 5/x ,(-4,-5/4)

tangent of

f (x) = \frac{5}{x}, (- 4, - \frac{5}{4})

y = - \frac{5}{16} x - \frac{5}{2}

Solution steps

Find the slope of

f (x) = \frac{5}{x} : \frac{df ( x )}{d x} = - \frac{5}{x ^{2}}

Compute the slope of

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

(- 4, - \frac{5}{4}) : m = - \frac{5}{16}

Find the line with slope m=

- \frac{5}{16}

and passing through

(- 4, - \frac{5}{4}) : y = - \frac{5}{16} x - \frac{5}{2}

y = - \frac{5}{16} x - \frac{5}{2}

- \frac{x ^{8}}{y ^{8}}

x^{2} - 4 x, x + 6

\int \frac{31}{31 + e ^{x}} d x

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

y = 4 x^{4} + 3 x - 5, (1, 2)

What is the tangent of f(x)= 5/x ,(-4,-5/4) ?
The tangent of f(x)= 5/x ,(-4,-5/4) is y=-5/16 x-5/2