UP TGT Mathematics Calculus Differentiation Test Series - Part 5

The curve y = x⁴ - 2x² has local minima at:

Type: MCQ • Marks: 1
The curve y = x⁴ - 2x² has local minima at:
Options
A. x = 0
B. x = 1 and x = -1
C. x = ±√2
D. No minima
Explanation
y' = 4x³ - 4x = 4x(x² - 1) = 0 => x = 0, 1, -1. Minima at x = 1, -1.
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