SOLUTION: Find d^2y/dx^2 for y=csc(x)

Algebra ->  Equations -> SOLUTION: Find d^2y/dx^2 for y=csc(x)      Log On


   

Question 1200496: Find d^2y/dx^2 for y=csc(x)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find d^2y/dx^2 for y=csc(x)
-----
y = 1/sin = sin^-1
y' = -sin%28x%29%5E-2%2Acos%28x%29
y'' = -2%2Asin%28x%29%5E-3%2Acos%28x%29+%2B+%28-sin%28x%29%5E-2%2A%28-sin%28x%29%29%29
y'' = -2cos%28x%29%2F%28sin%28x%29%5E-3%29+%2B+csc%28x%29
y'' = csc%28x%29%2Acot%5E2%28x%29+%2B+csc%5E2%28x%29