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Differentiation quiz

Vivienne Holmes 10 questions Updated 26 Oct 2016

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Questions in this quiz (10)

  1. 1If y = x^2 + 3x + 2
    dy/dx= [blank_start]2[blank_end]x + [blank_start]3[blank_end]
    1. A2
    2. B3
  2. 2If asked to differentiate y= (x+3)^2,
    I would use the [blank_start]chain[blank_end] rule
    1. Achain
  3. 3If asked to differentiate y= (x+1)/(x^2 - 2),
    I would use the [blank_start]quotient[blank_end] rule
    1. Aquotient
  4. 4The gradient of a tangent is 1/3.
    The gradient of its normal is [blank_start]-3[blank_end]
    1. A-3
  5. 5If f(x) = X^2 + 2x + 1, the value of x, dy/dx = [blank_start]2[blank_end]x+[blank_start]2[blank_end].
    This means the gradient of the curve is 0 when x = [blank_start]-1[blank_end]
    1. A2
    2. B2
    3. C-1
  6. 6y = ln(3x^2)
    y= ln[blank_start]3[blank_end] + [blank_start]2[blank_end]lnx
    dy/dx = [blank_start]2/x[blank_end]
    1. A3
    2. B2
    3. C2/x
  7. 7y = sin 3x
    dy/dx = [blank_start]3[blank_end][blank_start]cos[blank_end][blank_start]3x[blank_end]
    1. Acos
    2. B3x
    3. C3
  8. 8f(x) = tan2x
    f'(x) = [blank_start]2[blank_end]sec^2([blank_start]2x[blank_end])
    1. A2
    2. B2x
  9. 9f(x) = 3x^2-x^3
    f'(x) = 6x-3x^2
    Stationary points are at values of x for which f'(x) = 0, (x = 0 or x = [blank_start]2[blank_end])
    f''(x) = [blank_start]6[blank_end] - [blank_start]6[blank_end]x
    When x=0, stationary point is a [blank_start]minimum[blank_end] because at x=0, f''(x) is positive.
    1. A2
    2. B6
    3. C6
    4. Dminimum
  10. 10The second derivative of a function is also known as dy^2/dx^2
    1. ATrue
    2. BFalse

Information

Description
High level quiz to test concepts of differentiation
Language
English
Views
240
History
Created on 12 Jun 2016 · updated on 26 Oct 2016
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