sinx+x^2y=1 use implicit differentiation to find the second derivative. For the first derivative I got (cos(x)+2xy)/x^2. I have a feeling that is wrong, can someone please help and show steps on how to do this problem. (studying for a midterm).

1 answer

cos x dx + x^2 dy + 2 x y dx = 0

x^2 dy = - (cos x +2 xy)dx

dy/dx = - (cos x + 2 x y)/x^2
Similar Questions
  1. Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit differentiation.I got the first derivative which was x^3/y^3 and no
    1. answers icon 1 answer
  2. 1.) Find the derivative of tan (sec x).2.) Find the derivative if 1/x in four ways, using the limit process, power rule,
    1. answers icon 1 answer
  3. find y'' by implicit differentiation.2x^3 + 3y^3 = 8 I got the first derivative as you but the problem was asking for second
    1. answers icon 1 answer
  4. i need to use implicit differentiation to find the derivative:yx+y = 8 i keep getting y'=-1-y. i already know the derivative of
    1. answers icon 2 answers
more similar questions