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Syllabus: Limits, Continuity, and Differentiability, Maxima and minima, Mean value theorem, Integration.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1 &1&1&1&1&1&0&1&1&1&0&0.9&1
\\\hline\textbf{2 Marks Count} & 0 &0&0&0&0&0&1&0&0&0&0&0.1&1
\\\hline\textbf{Total Marks} & 1 &1&1&1&1&1&2&1&1&1&\bf{1}&\bf{1.1}&\bf{2}\\\hline
\end{array}}}$$

Recent questions in Calculus

1 votes
1 answer
391
3 votes
2 answers
392
Please solve the following question:
3 votes
1 answer
393
2 votes
1 answer
394
Integrate the following-e^2∫ | loge x/x| dxe^-1
1 votes
1 answer
395
1 0 [3x] dx
2 votes
0 answers
396
5 votes
1 answer
397
1 votes
2 answers
398
If f(x) = |x-1| + |x-2| is not derivable at x =(a) x = 0(b) x = 1,2(c) x = 3(d) none
0 votes
0 answers
399
limit x- -1 root(X) = ? what should be answer not defined or iota ( i )
0 votes
0 answers
400
Can a function obtain local maxima or minima at end point of its domain?
1 votes
1 answer
401
Which of the following is true: (a) differentiable and continous (d) none of these (c) not differentiable but continous (b) neither differentiable nor continous
1 votes
1 answer
402
Let f(x)=x−(1/2) and A denote the area of region bounded by f(x) and the x-axis, when x varies from -1 to 1.A is nonzero and finite??
2 votes
0 answers
403
someone please explain how to solve these kind of questions.i am familiar with one variable and do not know how to solve for more than one variables
0 votes
0 answers
404
If the function f(x) = [(x-2)3/a] sin(x-2) + a cos(x-2) , [∙] denotes greatest integer function, is continuous & differentiable in (4,6) then find ‘a’ range?(A) a ...
1 votes
2 answers
405
0 votes
1 answer
406
solve following $\lim_{x->0} e^{ax}- e^{-ax}/ log(1+bx)$
0 votes
1 answer
408
Limit x tends to infinity then what is the value of (tanx-x)/(sinx)
1 votes
0 answers
409
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____ .
4 votes
5 answers
410