What is the slope of y=(5x^2-1)^{-3} ?

The slope of y=(5x^2-1)^{-3} is -(30x)/((5x^2-1)^4)

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slope of y=(5x^2-1)^{-3}

slope

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

- \frac{30 x}{( 5 x ^{2} - 1 ) ^{4}}

Solution steps

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

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

(5 x^{2} - 1)^{- 3}

\frac{d}{d x} ((5 x^{2} - 1)^{- 3}) = - \frac{30 x}{( 5 x ^{2} - 1 ) ^{4}}

- \frac{30 x}{( 5 x ^{2} - 1 ) ^{4}}

\int_{- \infty}^{0} x e^{8 x} d x

2 x^{2} - 4 x

\frac{\partial}{\partial z} (- z)

\int \frac{1}{( x - 2 ) ( x - 3 )} d x

y^{^{'''}} + 3 y^{^{''}} - 16 y^{^{'}} - 48 y = 0

What is the slope of y=(5x^2-1)^{-3} ?
The slope of y=(5x^2-1)^{-3} is -(30x)/((5x^2-1)^4)