Introduction Of Derivatives Assessment Test

10 Questions | Total Attempts: 115

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Introduction Of Derivatives Assessment Test

Take our intelligent assessment test to assess your knowledge of derivatives, which is a tool of calculus, the instantaneous rate of change of a function at a point in its domain.


Questions and Answers
  • 1. 
     Find the derivative of (2+3x)(1-x) with respect to x.
    • A. 

      6x-1

    • B. 

      1-6x

    • C. 

      6

    • D. 

      -3

  • 2. 
    Find the derivative of the function y=2x2(x-1) at the point x= -1.
    • A. 

      - 6

    • B. 

      14

    • C. 

      16

    • D. 

      18

  • 3. 
    If y= ( 1+x)2, find dy/dx.
    • A. 

      X-1

    • B. 

      2+2x

    • C. 

      1+2x

    • D. 

      2x-1

  • 4. 
    The derivative of (2x+1) (3x+1) is...
    • A. 

      12x+1

    • B. 

      6x+5

    • C. 

      6x+1

    • D. 

      12x+1

  • 5. 
    Find the derivative of sinb/cosb.
    • A. 

      Sec2 b

    • B. 

      Tan b cosec b

    • C. 

      Cosec b sec b

    • D. 

      Cosec2 b

  • 6. 
    What is the derivative of t2 sin (3t - 5) with respect to the variable t?
    • A. 

      2t sin (3t - 5) - 3t2 cos (3t - 5)

    • B. 

      6t cos (3t - 5)

    • C. 

      2t sin (3t - 5) + 3t2 cos (3t - 5)

    • D. 

      2t sin (3t - 5) + t2 cos 3t

  • 7. 
    Find the derivatives with respect to x of the function √(2 – 3×2).
    • A. 

      -2×2 / √(2 – 3×2)

    • B. 

      -3x / √(2 – 3×2 )

    • C. 

      -2×2 / √(2 + 3×2)

    • D. 

      -3x / √(2 + 3×2)

  • 8. 
    Given the function f(x) = x to the 3rd power – 6x + 2, find the value of the first derivative at x = 2, f’(2).
    • A. 

      6

    • B. 

      3×2 – 5

    • C. 

      7

    • D. 

      9

  • 9. 
    Find the partial derivatives with respect to x of the function: xy2 – 5y + 6.
    • A. 

      Y2 – 5

    • B. 

      Xy – 5y

    • C. 

      Y2

    • D. 

      2xy

  • 10. 
     The derivative of ln (cos x) is...
    • A. 

      Sec x

    • B. 

      –sec x

    • C. 

      –tan x

    • D. 

      Tan x