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Continuity & Differentiability Mock Tests

32 questions available

Continuity & Differentiability Mock Test 1

Questions: 30

Continuity & Differentiability Mock Test 2

Questions: 2

नमूना प्रश्न

CUET Mathematics
If y = log(sin x), then dy/dx is:
A cos x / sin x
B sin x / cos x
C cot x
D tan x
CUET Mathematics
The derivative of cos⁻¹(x) with respect to x is:
A 1/√(1−x²)
B √(1−x²)
C −1/√(1−x²)
D −√(1−x²)
CUET Mathematics
The derivative of cos⁻¹(2x − 1) with respect to cos⁻¹(x) is:
A 2/√((1 + x)(1 − x))
B 2/√(1 − x²)
C 1/√(1 − x²)
D 2√(1 − x²)
CUET Mathematics
The function f(x) = |x − 1| is differentiable at x = 1:
A only from the right
B only from the left
C neither from the left nor from the right
D both from the left and from the right
CUET Mathematics
The derivative of sin⁻¹(2x/√(1+4x²)) with respect to x is:
A 2/(1+4x²)
B 1/√(1+4x²)
C 4x/√(1+4x²)
D 2x/√(1+4x²)
CUET Mathematics
The function f(x) = (x² - 4)/(x - 2) is discontinuous at:
A x = 0
B x = 2
C x = -2
D x = 4
CUET Mathematics
The function f(x) = sin(x)/x is discontinuous at:
A x = 1
B x = pi
C The function is continuous everywhere
D x = 0
CUET Mathematics
If y = tan⁻¹x, then dy/dx is:
A 1/(1 + x²)
B 1/(1 - x²)
C 1/√(1 + x²)
D 1/√(1 - x²)

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