Q. 25.0( 1 Vote )
Verify Rolle’s th
Since, f(x)=x2-x-12 is a polynomial and we know every polynomial function is continuous for all xϵR.
⇒ f(x)= x2-x-12 is continuous on [-3,4].
Here, f’(x)=2x-1 which exist in [-3,4].
So, f(x)= x2-x-12 is differentiable on (-3,4).
Conditions of Rolle’s theorem are satisfied.
Hence, there exist at least one cϵ(-3,4) such that f’(c)=0
Thus, Rolle’s theorem is satisfied.
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