Find derivative of given functions ...
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Find derivative of given functions w. 28. > y = cotx 1+ cotx 29. Find as a function of x 30. y = sinº x + sin 3x 31.

JEE/Engineering Exams
Maths
Solution
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( begin{aligned} y=& sin ^{3} x+sin 3 x &=sin ^{3} x+3 sin n-4 sin ^{3} x y &=3left(sin x-sin ^{3} xright) Rightarrow frac{d y}{d x} &=3left(cos x-3 sin ^{2} x cos xright) &=3 cos xleft(1-3 sin ^{2} xright) &=3 cos xleft(cos 2 x-sin ^{2} xright) end{aligned} )
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