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

The slope of y=(3x^3+2x)^{1/2} is (9x^2+2)/(2(3x^3+2x)^{1/2)}

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slope of y=(3x^3+2x)^{1/2}

slope

y = (3 x^{3} + 2 x)^{\frac{1}{2}}

\frac{9 x ^{2} + 2}{2 ( 3 x ^{3} + 2 x ) ^{\frac{1}{2}}}

Solution steps

y = (3 x^{3} + 2 x)^{\frac{1}{2}}

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

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

\frac{d}{d x} ((3 x^{3} + 2 x)^{\frac{1}{2}}) = \frac{9 x ^{2} + 2}{2 ( 3 x ^{3} + 2 x ) ^{\frac{1}{2}}}

\frac{9 x ^{2} + 2}{2 ( 3 x ^{3} + 2 x ) ^{\frac{1}{2}}}

f (x) = e^{- 9}

\int_{0}^{0.08} 2000 x d x

\frac{d}{d x} (\frac{2 x}{x + 2})

\int 2 + 2 sin (x) d x

y = 4 x sin (x), (\frac{π}{2}, 2 π)

What is the slope of y=(3x^3+2x)^{1/2} ?
The slope of y=(3x^3+2x)^{1/2} is (9x^2+2)/(2(3x^3+2x)^{1/2)}