Question

Differentiate 6) Sin Ext co? Je

Railway Exams

Maths

Solution

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let ( y=sin sqrt{x}+cos ^{2} sqrt{x} ) ( frac{d y}{d x}=cos sqrt{x}left(frac{1}{2 sqrt{x}}right)+2 cos sqrt{x}(sin sqrt{x})left(frac{1}{2 sqrt{x}}right) ) ( =frac{cos sqrt{x}(1-2 sin sqrt{x})}{2 sqrt{x}} ) or ( =frac{cos sqrt{x}-sin 2 sqrt{x}}{2 sqrt{x}} )