GATE Engineering Mathematics: Calculus: Limits, continuity, differentiability, partial derivatives, maxima and minima – Previous Year Questions
20 GATE previous year questions on Calculus: Limits, continuity, differentiability, partial derivatives, maxima and minima (Engineering Mathematics, Biotechnology) with answers and explanations, from every paper.
- GATE 2021 BT Q15 – The Cartesian coordinates of a point with polar coordinates (4,/4) are
- GATE 2021 BT Q18 – d[(2x)]/dx is
- GATE 2021 BT Q33 – The value of x0(x-2x)/(x-5x) (two decimal places) is .
- GATE 2021 BT Q51 – A triangle with vertices (k,0),(2,0),(0,-2) has area 2. The value of k is .
- GATE 2021 BT Q59 – Calculate 02/4x\,dx.
- GATE 2022 BT Q32 – The maximum of f(x)=3x2-x3 for x>0 is .
- GATE 2022 BT Q56 – For x 1,x 2>0, the value of x 1 x 2(x 1-x 2)/[x 2(x 1/x 2)] is .
- GATE 2023 BT Q31 – The value of x0(2x-4x)/x2 is .
- GATE 2023 BT Q32 – A series (S) is given as S = 1 + 3 + 5 + 7 + 9 + ...... The sum of the first 50 terms of S is .
- GATE 2023 BT Q34 – If 73x=216, the value of 7-x (rounded off to three decimal places) is .
- GATE 2023 BT Q35 – The distance between the two points of intersection of x2+y=7 and x+y=7 (rounded off to two decimal places) is .
- GATE 2023 BT Q59 – If f(x)=( x+ x)/( x- x), the value of f(x) at x=0 is .
- GATE 2023 BT Q60 – If f(2)=5 and f(x)f(x+1)=3 for all real x, the value of f(10) is .
- GATE 2026 BT Q11 – Consider the two functions f 1(x) = x2 - 4x - 2 and f 2(x) = x2 - 2x + 2. Which of the following is the value of (f 1(x) + f 2(x)) as x 2?
- GATE 2026 BT Q13 – Which of the following functions has the highest area under the curve between x = 0 and x = 10?
- GATE 2026 BT Q52 – If the straight lines given by the following two equations are parallel to each other, the value of a is . (answer in integer) 4x + 7y = 6; 3ax + 42y…
- GATE 2026 BT Q53 – A straight line y = x - 1 intersects a circle with center at x = 1, y = 1 and radius of magnitude 1 at two points. The length of the chord formed by…
- GATE 2025 BT Q14 – The minimum value of the function f(x) = x + 4x for x > 0 is
- GATE 2025 BT Q46 – If the function f(x) = cases 2x, & x > 0 \\ a + bx, & x 0cases where a and b are constants, is differentiable at x = 0, then a + b is equal to
- GATE 2024 BT Q63 – The value of the limit xx2(1 + 2024x) is .