Engineering Maths - Calculus


Calculus GATE  Syllabus

Calculus: Limits, continuity and differentiability. Maxima and minima. Mean value theorem. Integration


1. If

Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *


2. The function f(x) = x3 - 6x2 + 9x + 25 has

  • Option : A
  • Explanation :

    f '(x) = 3(x2-4x+3)    f ''(x)=6(x)-12 at  x=1,  f "(1) at  x=3, f ''(3) = +ve

Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *


3. The value of a = The value of a =

Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *


4. The interval in which the Lagrange's theorem is applicable for the function f(x) = 1/x is

  • Option : C
  • Explanation : Since f(x) = (1/x) is not continuous in [- 3, 3] [- 4, 2] or [- 1, 1], The point of discontinuity is '0'. Only in [2, 3] the function is continuous, and differentiable hence mean value theorem is applicable in [2, 3].
Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *


5. If f(x) = | x | , then for interval [-1, 1] ,f(x)

  • Option : C
  • Explanation : Since f(x) = |x| is continuous in [-1, 1] but it is not differentiable at x = 0 ε (-1, 1)
Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *


  • These calculus multiple choice questions answers can be used by any Engineering student to gain good credit score.
  • Calculus Objective Type questions answers can also be used by FY B. Sc. Students to prepare for their exams.
  • B. Sc. Maths and M.Sc. Maths students can also use these Calculus Practice Questions.
  • Students who are are pursuing their XI, XII standard can also used these Calculus Practice Questions.

Various search terms used for this section are

Calculus Multiple Choice Questions Answers

calculus for gate

gate engineering mathematics calculus

calculus gate questions pdf

calculus in computer science

calculus gate questions pdf

calculus practice questions

calculus practice test

calculus 1 practice test with solutions

Calculus Quiz