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. How to get the equation of the curve at every point given slope of the tangent line?

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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