1.

Differentiate w.r.t x f (x) sin 3xsin^(3)x

Answer»

SOLUTION :y = sin 3X ` sin ^(3) x`
` (dy)/(dx) = sin 3 x d/(dx) (sin^(3) x) + sin^(3) x d/(dx) (sin 3x)`
= (sin 3x) ( ` 3 sin^(2) x . Cos x) + sin^(3) (3 cos 3x)`
` 3 sin^(2) x (sin 3x cos x + cos 3x sin x) `
` 3 sin^(2) x sin 4X`


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