Time Left - 10:00 mins

GATE 2020 : Engg. Mathematics Quiz 1

Attempt now to get your rank among 423 students!

Question 1

Consider the function f(x) = x+ln x and f is differentiable on (1,e) and f(x) is continous on [1,e]. Determine the c value using mean valuetheorem.[by computing f'(c) =

Question 2

A point on a curve is said to be an extreme m if it is a local minimum or a local maximum. The number of distinct extrema for the curve 3x4 – 16x3 + 24x2 + 37 is

Question 3

If then the value of k is equal to ______ .

Question 4

Let z = x sin y-y sin x. The partial differential of z = ____.

Question 5

Consider the following two statements about the function f (x) = |x|:
P. f(x) is continuous for all real values of x
Q. f(x) is differentiable for all real values of x
Which of the following is TRUE?

Question 6

Consider the function f(x) = sin(x) in the interval x [π/4, 7π/4]. The number and location(s) of the local minima of this function are
  • 423 attempts
  • 2 upvotes
  • 1 comment
Jun 25GATE & PSU CS