Find the derivative of y = cos^(2)w + cos(w^2)?

6 ⤊

Find the derivative of y = cos^(2)w + cos(w^2)?

2007-12-16 17:40:01 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

y = cos²(ω)+ cos(ω²)
dy/dω = 2cosω(-sinω) + 2ω(-sin(ω²))
= -2sin(ω)cos(ω) - 2ωsin(ω²)
= -sin(2ω) - 2ωsin(ω²)

2007-12-16 17:47:36 · answer #1 · answered by gudspeling 7 · 3⤊ 2⤋

y = cos Â² w + cos ( w Â² )
dy/dw = 2 cos w (- sin w) - (sin w Â²) (2w)
dy/dw = (- 2 sin w) cos w - ( 2w ) (sin w Â² )
dy/dw = - sin 2w - (2w) ( sin w Â² )

2007-12-17 05:42:31 · answer #2 · answered by Como 7 · 3⤊ 2⤋