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Worksheets of Application of Differentiation

Test your skills on Application of Differentiation by trying out Application of Differentiation worksheets. 3 Application of Differentiation worksheets available to gain expertise and excel in your grades. The worksheets on Application of Differentiation have been designed to offer a wide range of questions covering all details of the Application of Differentiation and are in compliance with the k-12 curriculum. Detailed answers will be provided after you have attempted the Application of Differentiation worksheet. Each worksheet will have around 10 questions and there are multiple worksheets available to try out.

  • Length of Polar Curve worksheet

    1. Find the length of a = θ    0 ≤ θ ≤ 1?
      • ½  (√2 + (ln (1 + √2))
      • ½  (√2 + (1 + √2)
      • ½   (ln (1 + √2)
      • √2 + (1 + √2)
    2. What is the length of the segment a = 6 / (1 + cos r ), 0 ≤ r ≤ «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»q«/mi»«mn»2«/mn»«/mfrac»«/math»?
      • 6.000
      • 6.428
      • 7.248
      • 7.000
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  • Area of Polar Curves Worksheet

    1. Calculate the area of inner loop for the graph of r = 1+ 2cos θ?
      • π-(3√3)/2
      • π+6√3/2
      • -π-3/2
      • π-6√3
    2. Find the area by one leaf of the rose for r = cos 2θ?
      • π+1/√2
      • π/4-1/√2
      • - π/4+4/√2
      • π/4+4/√2
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  • Slope of Polar Curves Worksheet

    1. Identify the symmetries of the curve q = 4 + 4 cos Ɵ?
      • Symmetric at x-axis, not symmetric at y-axis and origin
      • Symmetric at x-axis, y-axis and origin
      • Not symmetric at x-axis, symmetric at y-axis and origin
      • Not symmetric at x-axis, y-axis and origin
    2. Identify the symmetries of the curve s = 6 + sinƟ?
      • Symmetric at x-axis, not symmetric at y-axis and origin
      • Symmetric at x-axis, y-axis and origin
      • Not symmetric at x-axis, symmetric at y-axis and origin
      • Not symmetric at x-axis, y-axis and origin
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