# Differential Calculus - Quiz

## Quiz by Dr. Dishant Pandya

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10 questions
• Q1
What is the derivative of f(x) = 4x^3?
f'(x) = 8x^2
f'(x) = 12x^2
f'(x) = 6x^2
f'(x) = 4x^2
30s
• Q2
Find the indefinite integral of f(x) = 2x^2 + 3x + 1.
F(x) = x^3 + x^2 + x + C
F(x) = (3/2)x^3 + x^2 + x + C
F(x) = (2/3)x^3 + (3/2)x^2 + x + C
F(x) = x^4 + (3/2)x^3 + x + C
30s
• Q3
What is the limit of f(x) = 3x^2 + 2x - 1 as x approaches 2?
13
7
15
9
30s
• Q4
Find the derivative of f(x) = sin(x) + cos(x)
f'(x) = -cos(x) + sin(x)
f'(x) = sin(x) + cos(x)
f'(x) = -sin(x) - cos(x)
f'(x) = cos(x) - sin(x)
30s
• Q5
What is the range of the function f(x) = 2x - 5?
Odd integers
All real numbers
Positive real numbers
Negative real numbers
30s
• Q6
What is the value of the definite integral of f(x) = 3x^2 - 2x + 1 from x = 0 to x = 2?
5
11
9

5

30s
• Q7
Find the derivative of f(x) = e^x + 2x^3 - cos(x)
f'(x) = e^x + 2x^3 + cos(x)
f'(x) = e^x - 6x^2 + sin(x)
f'(x) = e^x + 6x^2 - sin(x)
f'(x) = e^x + 6x^2 + sin(x)
30s
• Q8
Find the value of the limit lim(x->0) (3x^2 + 2x) / x
0
2
3
1
30s
• Q9
What is the derivative of f(x) = ln(x) + 3x^2?
f'(x) = ln(x) + 6x^2
f'(x) = 1/x + 3x
f'(x) = 1/x - 6x
f'(x) = 1/x + 6x
30s
• Q10
Find the value of the integral ∫(2x - 3) dx from x = 1 to x = 4.
16
12
20
8
30s

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