Questions
The value of c in the Lagrange’s mean value theorem for the function , when is:
a
4−73
b
4−53
c
7−23
d
23
detailed solution
Correct option is A
fx is a polynomial function ∴ It is continuous and differentiable in0,1 Heref0=11,f1=1−4+8+11=16f'x=3x2−8x+8∴f'c=f1−f01−0=16−111=3c2−8c+8⇒3c2−8c+3=0⇒c=8±276=4±73∴c=4−73∈0,1Talk to our academic expert!
Similar Questions
Consider the function on the interval the value of c satisfying the conclusion of Lagrange’s mean value theorem is ______________.
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