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Solution: Find the equation of the curve at every point of which the tangent line has a slope of 2x

Find the equation of the curve at every point of which the tangent line has a slope of 2x.

Problem Statement: ECE Board November 1998

Find the equation of the curve at every point of which the tangent line has a slope of 2x.

  • A. x = -y2 + C
  • B. y = -x2 + C
  • C. y = x2 + C
  • D. x = y2 + C

Problem Answer:

The equation of the curve is y = x2 + C

Solution:

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