What is the slope of (-6x^2-4x+4)/((3x^2+2)^2) ?

The slope of (-6x^2-4x+4)/((3x^2+2)^2) is -(4(-9x^3-9x^2+18x+2))/((3x^2+2)^3)

Popular >

slope of (-6x^2-4x+4)/((3x^2+2)^2)

slope

\frac{- 6 x ^{2} - 4 x + 4}{( 3 x ^{2} + 2 ) ^{2}}

- \frac{4 ( - 9 x ^{3} - 9 x ^{2} + 18 x + 2 )}{( 3 x ^{2} + 2 ) ^{3}}

Solution steps

y = \frac{- 6 x ^{2} - 4 x + 4}{( 3 x ^{2} + 2 ) ^{2}}

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

\frac{- 6 x ^{2} - 4 x + 4}{( 3 x ^{2} + 2 ) ^{2}}

\frac{d}{d x} (\frac{- 6 x ^{2} - 4 x + 4}{( 3 x ^{2} + 2 ) ^{2}}) = - \frac{4 ( - 9 x ^{3} - 9 x ^{2} + 18 x + 2 )}{( 3 x ^{2} + 2 ) ^{3}}

- \frac{4 ( - 9 x ^{3} - 9 x ^{2} + 18 x + 2 )}{( 3 x ^{2} + 2 ) ^{3}}

\int \frac{sin ( y )}{cos ^{2} ( y )} d y

x \to 2 lim (\frac{1}{3})

x^{\frac{9}{6}}, 7

x \to 0 + lim ((4 x + 1)^{c o t (x)})

\int - 2 e^{- 3 c o s (3 x)} sin (3 x) d x

What is the slope of (-6x^2-4x+4)/((3x^2+2)^2) ?
The slope of (-6x^2-4x+4)/((3x^2+2)^2) is -(4(-9x^3-9x^2+18x+2))/((3x^2+2)^3)