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Differential Calculus - Quiz

Quiz by Dr. Dishant Pandya

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10 questions
Show answers
  • 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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