Find the slope of the tangent line to the curve

2(x^2 + y^2)^2 = 25(x^2 - y^2) at the point (3,1).

Thank you very much for your help.

1 answer

take the derivative of each side..

4(x^2+y^2)(2x+2yy')=...

collect the y' terms.
Similar Questions
  1. Suppose that y=f(x) = sqrt(2x), x>=0Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as
    1. answers icon 2 answers
    1. answers icon 1 answer
    1. answers icon 3 answers
  2. Consider the curve given by y^2 = 2+xy(a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line
    1. answers icon 2 answers
more similar questions