Q53 of 354 Page 11

Differentiate the following functions with respect to x:

Let


On differentiating y with respect to x, we get



We know


[using chain rule]



We have





However, and derivative of a constant is 0.






[∵ sin2θ = 2sinθcosθ]



[∵ sin(90°+θ) = cosθ]



Thus,


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