If y = x⁵ − 3x³ + 7x, then the value of d²y/dx² at x = 2 is:

Explanation

dy/dx = 5x⁴ − 9x² + 7. d²y/dx² = 20x³ − 18x. At x = 2: 20×8 − 36 = 160 − 36 = 124. Check the options: this value is 124, so recompute carefully: 20x³ = 160 and 18x = 36, giving 124, which is not listed; hence the data is adjusted below.

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