
a)
let z = cos x then dz/dx = sin x
y = z^3
y' = 3 z^2 dz/dx
y' = 3 cos^2 x (sin x)
= 3 sin x cos^2 xposted by Damon

b)
let z = x^3 then dz/dx = 3 x^2
y = sin z
y' = cos z dz/dx
= cos(x^3) (3 x^2)
= 3 x^2 cos x^3posted by Damon

c)y' = sin^2 x (3sin 3x)+ cos 3x (2 sin x cos x
= 3sin 3x sin^2 x + 2 cos 3x sin x cos xposted by Damon
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