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➡️differentiate this..
find dy/dx
#class 12th
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ravi9848267328:
i know the ans
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Refer the attached picture.
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Step-by-step explanation:
find dy/dt and dx/dt
dy/dt=d/dt(cos^3 t/ cos 2t^1/2 )
use u/v rule
------>(u.dv/dt+v.du/dt)/v^2
differentiation of cos 2t^1/2= -sin2 t/cos 2 t^1/2
differentiation of cos^3 t is -3 cos^2 t sin t
dy/dt=[(cos^3 t*(-sin 2t/cos 2 t^1/2))+(( cos 2 t^1/2)*(-3 cos^2 t sin t))]/cos 2t
dx/dt=[(sin^3 t*(-sin 2t/cos 2 t^1/2))+(( cos 2 t^1/2)*(3 sin^2 t cos t))]/cos 2t
ans is cot t
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