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Differential Calculus Mock Tests

68 questions available

Differential Calculus Mock Test 1

Questions: 30

Differential Calculus Mock Test 2

Questions: 30

Differential Calculus Mock Test 3

Questions: 8

Sample Questions

VITEEE Mathematics
If x = a·cos(t) and y = a·sin(t), then dy/dx at t = π/4 is:
A −1
B 1
C 0
D ∞
AEEE Mathematics
The derivative of f(x) = x³ sin(x) at x = 0 is:
A 0
B 1
C 3
D -1
AEEE Mathematics
The limit as x approaches 0 of sin(x)/x is:
A 0
B 1
C infinity
D does not exist
VITEEE Mathematics
The Taylor series expansion of e^x about x = 0 is:
A 1 + x + x²/2! + x³/3! + ...
B 1 + x + x²/2 + x³/6 + ...
C x + x²/2 + x³/6 + ...
D 1 − x + x²/2 − x³/6 + ...
JEE Main Mathematics
The derivative of x⁴ is:
A 4x³
B x³
C 4x⁴
D 3x⁴
VITEEE Mathematics
The value of lim(x→0) (sin x)/x is:
A 1
B 0
C ∞
D −1
VITEEE Mathematics
The Taylor series expansion of eˣ about x = 0 is:
A 1 + x + x²/2! + x³/3! + ...
B 1 + x + x²/2 + x³/6 + ...
C x + x²/2 + x³/6 + ...
D 1 - x + x²/2 - x³/6 + ...
JEE Main Mathematics
The derivative of e^x is:
A e^x
B xe^(x-1)
C e^(x+1)
D ln(x)

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