Chapter 7: Applications of Differential Calculus - Online Test
Q1. The function sin4 x + cos4 x is
increasing in the interval
Answer : Option C
Explaination / Solution:
Q2. The number given by the Rolle’s theorem for the
function x3 − 3x2
, x ∈[0,
3] is
Answer : Option D
Explaination / Solution:
Q3. The number given by the Mean value theorem for
the function 1/x , x ∈[1,
9] is
Answer : Option C
Explaination / Solution:
Q4. The minimum value of the function | 3 − x | + 9 is
Answer : Option D
Explaination / Solution:
Q5. The maximum slope of the tangent to the curve y = ex sin x ,
x ∈[0, 2π ] is at
Answer : Option B
Explaination / Solution:
Q6. The maximum value of the function x2 e−2x , x > 0 is
Answer : Option C
Explaination / Solution:
Q7. One of the closest points on the curve x2 − y2 = 4 to
the point (6, 0) is
Answer : Option C
Explaination / Solution:
Q8. The maximum value of the product of two positive
numbers, when their sum of the squares is 200, is
Answer : Option A
Explaination / Solution:
Q9. The curve
y = ax4 + bx2 with ab > 0
Answer : Option D
Explaination / Solution:
Q10. The point of inflection of the curve y = (x −1)3 is
Answer : Option C
Explaination / Solution:
