y = x3+2 sin x derivative principle
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Herte, f(x)=sinx−−−−√3
∴f'(x)=Limh→0f(x+h)−f(x)h
=Limh→0sin(x+h)−−−−−−−−√3−sinx−−−−√3h
As this is a 00form. So, we will apply L'hospital rule to evaluate this limit and differentiate it w.r.t. h.
=Limh→013(sin(x+h)−23(cos(x+h)))−01
=13(sinx)−23cosx
∴f'(x)=13(sinx)−23cos
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