If y=|cosx|+|sinx| then dy/dx at x=2π/3
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Cos x is negative in (π/2 , π) . So near 2π/3 on both sides, at 2π/3 +- delta
Sin x is positive. in this domain.
so in this domain y = - cos x + sin x
differentiating dy/dx = sin x + cos x
At 2π/3 , dy/dx is sin 2π/3 + cos 2π/3 = √3/2 - 1/2 = (√3 -1 )/2
Sin x is positive. in this domain.
so in this domain y = - cos x + sin x
differentiating dy/dx = sin x + cos x
At 2π/3 , dy/dx is sin 2π/3 + cos 2π/3 = √3/2 - 1/2 = (√3 -1 )/2
mathukkutty:
Thank you
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