What is the slope of x/(x^2-15),x=4 ?

The slope of x/(x^2-15),x=4 is -31

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slope of x/(x^2-15),x=4

slope

\frac{x}{x ^{2} - 15}, x = 4

- 31

Solution steps

y = \frac{x}{x ^{2} - 15}

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

\frac{x}{x ^{2} - 15}

\frac{d}{d x} (\frac{x}{x ^{2} - 15}) = \frac{- x ^{2} - 15}{( x ^{2} - 15 ) ^{2}}

\frac{- x ^{2} - 15}{( x ^{2} - 15 ) ^{2}}

Find the value of

\frac{- x ^{2} - 15}{( x ^{2} - 15 ) ^{2}}

for

x = 4 : - 31

- 31

f (x) = \frac{1}{x} + 2 ln (x + 3)

\frac{1}{x - 6}

p (x) = tan (x) + \frac{1}{x}

f (x) = \frac{x ^{2} - 1}{5}

1.204 e^{8.8448 x}