Engineering Mathematics · Calculus
Official IIT answer key · IIT Bombay · Audited Aug 2026
GATE CSE 2021 Set 2 Q25 · NAT · 1 mark
Key concept
No account needed
Sit 5 related CalculusPYQs as a guest. We'll score the set and show which traps cost marks — sign in only if you want to save the run.
Topic notes
Calculus in GATE CS tests single-variable differential and integral calculus, foundational limit evaluations, continuity and differentiability of piecewise/absolute-value functions, and mean value theorems (Rolle's and LMVT). Earlier years (2012-2015) also included numerical methods such as Newton-Raphson, Bisection, and Trapezoidal/Simpson's rules, whereas recent papers (2020-2026) focus heavily on analytical properties: odd/even symmetry in single and multiple integrals, boundary extrema, points of non-differentiability, and MSQ-based structural analyses of functions.
Full Calculus guide →Suppose that f R R is a continuous function on the interval [-3, 3] and a differentiable function in the interval (-3, 3) such that for every x in the interval, f'(x) 2. If f(-3) = 7, then f(3) is at most …
Topic-wise GATE CS PYQs with verified steps
Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
