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Limits And Derivatives Mock Tests

25 questions available

Limits And Derivatives Mock Test 1

Questions: 25

Sample Questions

Class 11 Mathematics
The value of lim(x→2) (x² − 4)/(x − 2) is:
A 0
B 2
C 4
D 6
Class 11 Mathematics
The derivative of sin(x²) with respect to x is:
A cos(x²)
B 2x cos(x²)
C 2x sin(x²)
D −2x cos(x²)
Class 11 Mathematics
The value of lim(x→0) (sin x)/x is:
A 1
B 0
C
D undefined
Class 11 Mathematics
The derivative of x³ · sin x with respect to x is:
A 3x² sin x + x³ cos x
B 3x² cos x + x³ sin x
C x³ cos x − 3x² sin x
D 3x² sin x − x³ cos x
Class 11 Mathematics
The limit as x approaches 2 of (x² − 4)/(x − 2) is:
A 4
B 2
C 0
D Undefined
Class 11 Mathematics
The derivative of f(x) = x² sin x at x = 0 is:
A 0
B 1
C 2
D −1
Class 11 Mathematics
If f(x) = x², then the derivative f'(x) at x = 3 is:
A 6
B 3
C 9
D 12
Class 11 Mathematics
lim(x→2) (x² − 4)/(x − 2) equals:
A 0
B 2
C 4
D

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