Engineering Board Exam Reviewer · Implicit Differentiation · easy

Find dy/dx if x2+y2=25.

  1. - x/y
  2. x/y
  3. - y/x
  4. - 2 x/y

Answer

A. - x/y

Solution

Differentiate both sides: 2x+2ydy/dx=0 /dx=-x/y.

More Implicit Differentiation questions

  1. Find dy/dx if xy=yx (for x,y>0).
  2. Find d2y/dx2 if x2+y2=4.
  3. Find dy/dx if (x+y)=y.
  4. Find dy/dx if x2-xy+y2=7.
  5. Find dy/dx at the point (0,1) on the curve exy+x=y.
  6. Find the slope of the curve x2y+xy2=6 at the point (1,2).
  7. Find dy/dx if x3+y3=6xy.

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