Elliott Chan
06/27/2023 · 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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1. Find the critical points by solving \( 2x^4 - 10x^3 + 1 = 0 \).
2. Test intervals around the critical points to determine where \( f'(x) \) is positive or negative.
3. Conclude the intervals of increase and decrease based on the sign of \( f'(x) \).
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