Question

y = x3+2 sin x derivative principle​

Answer 1

Answer:

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