What is the slope of y=2x^2+3/x ?

The slope of y=2x^2+3/x is 4x-3/(x^2)

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slope of y=2x^2+3/x

slope

y = 2 x^{2} + \frac{3}{x}

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

Solution steps

y = 2 x^{2} + \frac{3}{x}

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

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

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

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

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