given an interval [a,b] that satisfied hypothesis I Rolle's throem for the function f(x)=x^4x^2-2. it is known that a=-1. find the value of b. and
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Let f be continuous on a closed interval [a,b] and differentiable on the open interval (a,b). If f(a)=f(b), then there is at least one point c in (a,b) wheref′(c)=0.
Given f=x3−3x in [−3,0]
⇒f′(x)=3x2−3f′(c)=3c2−3=0⇒c2=1⇒c=−1
as c is in [−3,0]
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