What is the slope of 3/4 x^4-4/3 x^3+5/2 ?

The slope of 3/4 x^4-4/3 x^3+5/2 is 3x^3-4x^2

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slope of 3/4 x^4-4/3 x^3+5/2

slope

\frac{3}{4} x^{4} - \frac{4}{3} x^{3} + \frac{5}{2}

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

Solution steps

y = \frac{3}{4} x^{4} - \frac{4}{3} x^{3} + \frac{5}{2}

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

\frac{3}{4} x^{4} - \frac{4}{3} x^{3} + \frac{5}{2}

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

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

y = 4 - x^{2}

(1, 3)

- \frac{6}{x ^{4}}

(x + 1)^{2} (x - 4)^{3}

(- 2, 3), (4, - 1)

What is the slope of 3/4 x^4-4/3 x^3+5/2 ?
The slope of 3/4 x^4-4/3 x^3+5/2 is 3x^3-4x^2