Derivatives
2 years ago
dennisbergeron
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19 QuestionsShow answers
  • Question 1
    60 seconds
    Q. FInd the derivative:
    f(x) = (-2/3)x3 - (1/2)x2 + 9x
    answer choices
    -2x2 - x + 9
    -2x2 + x + 9
    2x2 - x + 9
    2x2 - x - 9
  • Question 2
    180 seconds
    Q. Find the second derivative of the function:
    f (x) =  2x - 5x6
    answer choices
    f ''(x)= 2 - 30x
    f ''(x) =  2-30x5
    f ''(x) = -30x5
    f ''(x) = -150x4
  • Question 3
    120 seconds
    Q. Set up the derivative of y=(3x- 7)*(5x+ 1)
    answer choices
    (12x3)*(10x)
    (3x4 - 7)*(10x) + (12x3)*(5x2 + 1)
    (3x4 - 7)*(10x) - (12x3)*(5x2 + 1)
    (3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
  • Question 4
    120 seconds
    Q. Find the derivative of y = 2x2 (3x - 4)
    answer choices
    6x3 - 8x2
    18x2 - 16x
    15x- 6x
    6x - 4
  • Question 5
    60 seconds
    Q. Differentiate f(x) =(2/ x5) - 5.
    answer choices
    x5-3
    -10x6 
    x5-5
    -10x-6 
  • Question 6
    120 seconds
    Q. Find the derivative of the given equation
    f(x) = x4 + 4x- 2x2
    answer choices
    x3 + x- x
    4x3 + 12x+ 4x
    4x + 12x - 4x
    4x3 + 12x- 4x
  • Question 7
    120 seconds
    Q. Find the derivative.
    answer choices
    x4 cosx - 4x3sinx
    xcosx + 4x3sinx
    4x3cosx
    -4x3cosx
  • Question 8
    300 seconds
    Q.

    Find the derivative f(x) = xex

    answer choices

    f'(x) = ex

    f'(x) = xex + xex

    f'(x) = ex - xex

    f'(x) = ex + xex

  • Question 9
    300 seconds
    Q.

    .

    answer choices

    (3x2-2)cos(x3-2x)

    -(3x2-2)cos(x3-2x)

    cos(2x2-2)

    sin(2x2-2)

  • Question 10
    120 seconds
    Q. Find the derivative of g(x)=(3x-2)/(x2+2)
    answer choices
    9x2+2
    3(x2+2)/(x2+2)2
    (-3x2+4x +6)/(x2+2)2
    (-3x2+10)/(x2+2)2
  • Question 11
    120 seconds
    Q. The position of an object is given as a function of time by x = 3t2 + 5t- 2t
    What is the acceleration of the object at time t = 2 s?
    answer choices
    64 m/s/s
    60 m/s/s
    66 m/s/s
    70 m/s/s
  • Question 12
    120 seconds
    Q. The velocity of an object is given as v = 2t + 3t3. what is the acceleration of the object at t = 2 s?
    answer choices
    38 m/s/s
    27 m/s/s
    16 m/s/s
    49 m/s/s
  • Question 13
    120 seconds
    Q. If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle? 
    answer choices
    v(t) = -2
    v(t) = -2t - 1 
    v(t) = t3
    v(t) = -t
  • Question 14
    120 seconds
    Q. If the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity at t = 1?  
    answer choices
    v = 0
    v = 1
    v = -1
    v = -2
  • Question 15
    120 seconds
    Q. Find the derivative.
    f(x) = -8x-3 + 5x - ex
    answer choices
    f'(x) = -24x-4 + 5 - ex
    f'(x) = 24x-4 + 5 - ex
    f'(x) = 24x-2 + 5 - ex
    f'(x) = 24x-4 + 5 - ex-1
  • Question 16
    120 seconds
    Q. Find the derivative
    f(t) = (t2 + 2t)5
    answer choices
    f'(t) = 5(2t+2)4
    f'(t) = 5(t2 + 2t)4
     f'(t) = 5(t2 + 2t)4(2t)
    f'(t) = 5(t2 + 2t)4(2t + 2)
  • Question 17
    120 seconds
    Q. Find the second derivative of
    f(x) = x+ e - cosx
    answer choices
    f"(x) = 2 + ex + cosx
    f"(x) = 2x + ex + cosx
    f"(x) = 2x + xex - cosx
    f"(x) = 2x + ex + sinx
  • Question 18
    30 seconds
    Q. f(x)= 9/∛x
    f'(x) =
    answer choices
    9x-1/3
    -3x-4/3
    -9x2/3
    -3x2/3
  • Question 19
    30 seconds
    Q. Find y' if y=e3x
    answer choices
    e3x
    e2x
    0
    3e3x
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