GATE Engineering Mathematics: Calculus: Limits, continuity, differentiability, chain rule, maxima and minima, integration – Previous Year Questions
14 GATE previous year questions on Calculus: Limits, continuity, differentiability, chain rule, maxima and minima, integration (Engineering Mathematics, Aerospace Engineering) with answers and explanations, from every paper.
- GATE 2021 AE Q27 – x0(1/ x-1/x)=
- GATE 2021 AE Q41 – For f(x)=e-x x , which statements hold?
- GATE 2022 AE Q11 – The tangent to y=x2 at (1,1) is
- GATE 2022 AE Q31 – Arc length of x=,y=,z= from 0 to 2 (one decimal place) is .
- GATE 2022 AE Q36 – The height of a right circular cone of maximum volume that can be enclosed within a hollow sphere of radius R is
- GATE 2022 AE Q43 – The real function y=2( x ) is
- GATE 2023 AE Q36 – For y=(x+3)(x-2) on -4<x<4, where is the minimum?
- GATE 2026 AE Q51 – The minimum value of the function f(x) = x + 2x + 3 for real x is (rounded off to 1 decimal place).
- GATE 2025 AE Q15 – f(x) = cases A + x, & x < 2 \\ 1 + x2, & x 2 cases If the function f(x) is continuous at x = 2, the value of A is .
- GATE 2025 AE Q40 – The maximum value of the function f(x) = (x-1)(x-2)(x-3) in the domain [0, 3] occurs at x = (rounded off to two decimal places).
- GATE 2025 AE Q41 – x 01 - (2x)x2 = (answer in integer).
- GATE 2025 AE Q42 – The equation of a closed curve in two-dimensional polar coordinates is given by r = 2(1 - ). The area enclosed by the curve is (answer in integer).
- GATE 2024 AE Q37 – The volume of the solid formed by a complete rotation of the shaded portion of the circle of radius R about the y-axis is k R3. The value of k is:
- GATE 2024 AE Q45 – Consider the function f(x) = cases x2 & for x < 0 \\ x & for x 0 cases where x is real. Which of the following statements is/are correct?