Chapter 10: Differential Calculus Differentiability and Methods of Differentiation - Online Test
Q1. If x = asinθ and y = bcosθ , then d2y/ d2x is
Answer : Option C
Explaination / Solution:
Q2. The differential coefficient of log10x with respect to logx10 is
Answer : Option B
Explaination / Solution:
Q3. If f (x) = x
+ 2, then f '( f (x)) at x = 4 is
Answer : Option B
Explaination / Solution:
Q4. If y =
(1− x)2/ x2 , then dy/ dx is
Answer : Option D
Explaination / Solution:
Q5. If pv
= 81, then dp/dv at v = 9 is
Answer : Option B
Explaination / Solution:
Q6. If f (x ) = 
, then the right
hand derivative of f(x) at x = 2 is
, then the right
hand derivative of f(x) at x = 2 is
Answer : Option C
Explaination / Solution:
Q7. It is given that f '(a) exists, then 
is
is
Answer : Option A
Explaination / Solution:
Q8. If 
, then f '(2) is
, then f '(2) is
Answer : Option D
Explaination / Solution:
Q9. If g (x) = (x2 + 2x + 3) f (x)
and f (0) = 5 and 
, then g '(0) is
, then g '(0) is
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. If f(x) = 
, then at x = 3, f '(x) is
, then at x = 3, f '(x) is
Answer : Option D
Explaination / Solution:
