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Q.

Consider the function f(x)=8x2−7x+5 on the interval [−6,6]. the value of c satisfying the conclusion of Lagrange’s mean value theorem is ______________.

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Detailed Solution

f'(c)=16c−7 =f(6)−f(−6)12 =(8×36−7×6+5)−(8×36−7×6+5)12 =−2×7×612=−7 ⇒c=0

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