JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1

Rolle's theorem holds for the function

f(x)=x^3+

m x^2+n x

on the interval

[1,2]

and the value of

c

is 4/3. Then

View answer and explanation

Correct option: B

m=-5, n=8

Option B (

m=-5, n=8

) is correct because it satisfies both the Rolle's theorem condition

f(1)=f(2)

and the condition

f^{\prime}(c)=0

c=4/3

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