What is the slope of y= 3/x ,(5, 3/5) ?

The slope of y= 3/x ,(5, 3/5) is -3/25

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slope of y= 3/x ,(5, 3/5)

slope

y = \frac{3}{x}, (5, \frac{3}{5})

- \frac{3}{25}

Solution steps

y = \frac{3}{x}

In order to find the slope of the function, take the derivative of

\frac{3}{x}

\frac{d}{d x} (\frac{3}{x}) = - \frac{3}{x ^{2}}

- \frac{3}{x ^{2}}

Find the value of

- \frac{3}{x ^{2}}

for

x = 5 : - \frac{3}{25}

- \frac{3}{25}

\frac{s - 1}{s ( s + 1 ) ( s + 2 )}

\int \frac{1}{3 - 5 x ^{2}} d x

\frac{\partial}{\partial x} (x^{3} - 12 x y + 8 y^{3})

(x^{2} - 5 x + 1)^{4}

\int_{1}^{3} (2 x^{2} - 12 x + 13) d x