1. The gradient of the curve y = 2x^3 - 3x^2 - 12x + 8 at x = 0 is
A) -12 ✓
B) 12
C) 0
D) none of these
CA Foundation Paper 3
Limits and Continuity, Differential and Integral Calculus MCQ
Chapter 8 • 100 Questions from ICAI Study Material
Questions
100
Est. Time
75 min
Source
ICAI Book
Question 1 of 100 0 correct | 0 wrong
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Sample Questions: Limits and Continuity, Differential and Integral Calculus
Preview 8 of 100 MCQs from Chapter 8
2. The gradient of the curve y = 2x^3 - 5x^2 - 3x at x = 0 is
A) 3
B) -3 ✓
C) 1/3
D) none of these
3. The derivative of y = sqrt(x+1) is
A) 1 / sqrt(x+1)
B) -1 / sqrt(x+1)
C) 1 / 2 sqrt(x+1) ✓
D) none of these
4. If f(x) = e^(ax^2+bx+c) then f'(x) is
A) e^(ax^2+bx+c)
B) e^(ax^2+bx+c) (2ax + b) ✓
C) 2ax + b
D) none of these
5. If f(x) = (x^2+1)/(x^2-1) then f'(x) is
A) -4x / (x^2-1)^2 ✓
B) 4x / (x^2-1)^2
C) x / (x^2-1)^2
D) none of these
6. If y = x(x-1)(x-2) then dy/dx is
A) 3x^2 - 6x + 2 ✓
B) -6x + 2
C) 3x^2 + 2
D) none of these
7. If xy = 1 then y^2 + dy/dx is equal to
A) 1
B) 0 ✓
C) -1
D) none of these
8. The derivative of the function sqrt(x + sqrt(x)) is
A) 1 / (2 sqrt(x + sqrt(x)))
B) 1 + 1/(2 sqrt(x))
C) (1/(2 sqrt(x + sqrt(x))))(1 + 1/(2 sqrt(x))) ✓
D) none of these
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