Home
Class 12
MATHS
If f(x)=x^3+7x-1, then f(x) has a zero b...

If `f(x)=x^3+7x-1,` then `f(x)` has a zero between `x=0a n dx=1` . The theorem that best describes this is mean value theorem maximum-minimum value theorem intermediate value theorem none of these

A

Rolle’s theorem

B

Mean value theorem

C

Maximum-minimum value theorem

D

Intermediate value theorem

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=x^(3)+7x-1, then f(x) has a zero between x=0 and x=1. The theorem that best describes this is mean value theorem maximum-minimum value theorem intermediate value theorem none of these

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is

For f(x)=(x-1)^(2/3) ,the mean value theorem is applicable to f(x) in the interval

For f(x) = (x - 1)^(2/3) , the mean value theorem is applicable to f(x) in the interval

Using Lagranges mean value theorem,show that sin(:x for x:)0.

Lagrange's mean value theorem is not applicable to f(x) in [1,4] where f(x) =

The value of c in Lagrange's mean value theorem for the function f(x)=log_ex in the interval [1,3] is

The value of c in mean value theorem for the function f(x)= x^2 in [2,4] is

For the function f(x)=e^x,a=0,b=1 , the value of c in mean value theorem will be