Asked by hailey
y=cos^3(12theta)
find derivative using chain rule
find derivative using chain rule
Answers
Answered by
Count Iblis
y = x^3
x = cos(z)
z = 12 teta
dy/dtheta =
(dy/dz) (dz/dtheta) =
(dy/dx) (dx/dz) (dz/dtheta) =
3 x^2 [-sin(z)] 12 =
-36 cos^2(z) sin(z) =
-36 cos^2(12 theta) sin(12 theta)
x = cos(z)
z = 12 teta
dy/dtheta =
(dy/dz) (dz/dtheta) =
(dy/dx) (dx/dz) (dz/dtheta) =
3 x^2 [-sin(z)] 12 =
-36 cos^2(z) sin(z) =
-36 cos^2(12 theta) sin(12 theta)