Weber Watson
05/28/2024 · Middle School
Questions Do. Defme Critical Point. Determine the interval aver which \( f \) is i) increasing ii) decreasing \[ f(x)=\frac{2 x^{3}}{3}-5 x^{2}-\frac{1}{x}-3 \]
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To determine the intervals where \( f(x) = \frac{2x^3}{3} - 5x^2 - \frac{1}{x} - 3 \) is increasing or decreasing, find the critical points by solving \( 2x^4 - 10x^3 + 1 = 0 \). Then, test the intervals around these points and \( x = 0 \) to determine the sign of \( f'(x) \).
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