Question 4 :
Let f(x)=4 and f'(x)= 4. Then <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870d2d75ed294f2c7c439c' height='51' width='179' > is given by

Question 5 :
If function f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c7d19f8d44d3a17facc' height='41' width='125' >, then the number of points at which f(x) is continuous, is :

Question 6 :
The left hand derivative of f(x) = [x] sin(&pi;x) at <br>x = k, k is an integer and [.] &rarr; greatest integer is :

Question 7 :
The point of discontinuity of <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c8619f8d44d3a17fadb' height='37' width='95' > is -

Question 9 :
For a real number x, let [x] denote the greatest integer less than or equal to x-<br>Then f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c91e6d3604eaa92ed53' height='40' width='77' > is-

Question 10 :
A function f(x) = 1/log | x | is discontinuous at -

Question 12 :
Let f (x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c95e6d3604eaa92ed61' height='41' width='124' ><br>If f (x) is differentiable at x = 2, (p, q) =

Question 13 :
A function f(x) = 3 - 4 |sin x| + |cos x| + e^x. Then f(x) is -

Question 14 :
If function f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c7219f8d44d3a17faa8' height='48' width='65' >, &alpha;&ne; m&pi;, m &isin;I is continuous at x = &alpha; then f(x) should be

Question 17 :
If A and B are square Matrices of order 3 such that |A| = -1 , |B| = 3 then |3AB| = ---------

Question 18 :
<img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870d2f19f8d44d3a17fd00' height='52' width='138' >, <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870d2f75ed294f2c7c43a4' height='27' width='52' >, ([x] denotes greatest integer less than or equal to x)

Question 19 :
Function f (x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c7419f8d44d3a17faac' height='39' width='68' > where [.] is GIF. is

Question 20 :
Let f(x) = [ | x | ], ( [ . ] = G.IF) then the wrong statement of the following is

Question 21 :
<img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870cec75ed294f2c7c42db' height='27' width='57' >, where [.] is GIF, is

Question 22 :
The set of points at which f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c8619f8d44d3a17fadc' height='39' width='40' > is differentiable -

Question 24 :
A function f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870d0375ed294f2c7c431a' height='44' width='79' >, &alpha; &ne; m&pi; is continuous at x = &alpha; then

Question 25 :
The function f(x) <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c9a75ed294f2c7c41ca' height='41' width='89' > is -

Question 26 :
<img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870a8475ed294f2c7c3bd7' height='27' width='25' ><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870bea75ed294f2c7c3fa7' height='40' width='93' > equals -

Question 27 :
The number of points of discontinuity of f(x) = [x³ +1] in<br>(1, 2) is/are

Question 28 :
If x is real number in [0, 1], then the value of <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870cf275ed294f2c7c42ed' height='27' width='55' >[1 + cos^2m (n!&pi;x)] is given by

Question 29 :
A function f(x) = sin x + cos x + e^|x| is non differentiable at -