GATE AG 2022 • Q15 NAT • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Maxima and minima of function with several independent variables

Question Statement:

The slope of the function f(x) = 2x⁴ − 3x² + 5x at x = 2 is __________. [Answer in integer]

Official Answer Key:

57 to 57

Step-by-Step Solution & Explanation

• f'(x) = 8x³ − 6x + 5 • At x=2: f'(2) = 64 − 12 + 5 = 57 Computed value: 57 (exact match with official key)

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