What is the slope of y=5x^2+6/x ?

The slope of y=5x^2+6/x is 10x-6/(x^2)

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slope of y=5x^2+6/x

slope

y = 5 x^{2} + \frac{6}{x}

10 x - \frac{6}{x ^{2}}

Solution steps

y = 5 x^{2} + \frac{6}{x}

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

5 x^{2} + \frac{6}{x}

\frac{d}{d x} (5 x^{2} + \frac{6}{x}) = 10 x - \frac{6}{x ^{2}}

10 x - \frac{6}{x ^{2}}

y = \frac{8 t}{8 + t}

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\int \frac{( 1 + 6 ln ( x ) ) ^{2}}{x} d x