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

The tangent of y=x+4/x ,(-4,-5) is y= 3/4 x-2

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tangent of y=x+4/x ,(-4,-5)

tangent of

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

y = \frac{3}{4} x - 2

Solution steps

Find the slope of

y = x + \frac{4}{x} : \frac{d y}{d x} = 1 - \frac{4}{x ^{2}}

Compute the slope of

y = x + \frac{4}{x}

(- 4, - 5) : m = \frac{3}{4}

Find the line with slope m=

\frac{3}{4}

and passing through

(- 4, - 5) : y = \frac{3}{4} x - 2

y = \frac{3}{4} x - 2

\frac{\partial}{\partial x} (4 x^{3} y^{3})

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

\frac{d}{d x} (x^{5^{x}})

\int \frac{9 + u}{u} d u

\int \frac{u}{u ^{2} - 1} d u

What is the tangent of y=x+4/x ,(-4,-5) ?
The tangent of y=x+4/x ,(-4,-5) is y= 3/4 x-2