Home
Class 12
MATHS
If, from mean value theorem , f(x1)=(f...

If, from mean value theorem ,
`f(x_1)=(f(b)-f(a))/(b-a), ` then:

A

(a) `altx_1leb`

B

(b) `alex_1ltb`

C

(c) `altx_1ltb`

D

(d) `alex_1leb`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

From mean value theoren : f(b)-f(a)=(b-a)f^(prime)(x_1); a lt x_1 lt b if f(x)=1/x , then x_1 is equal to

In the Mean Value theorem (f(b)-f(a))/(b-a)=f'(c) if a=0 , b =1/2 and f(x)=x(x-1)(x-2) the value of c is

In the Mean value theorem f(b)-f(a)=(b-a)f'(c), if a=4, b=9 and f(x)= sqrtx , then the value of c is (A)8.00 (B)5.25 (C)4.00 (D)6.25

Varify Lagrange's mean value theorem for the function f(x)=x+(1)/(x), x in [1, 3]

The constant 'c' of Lagrange's mean value theorem of the function f(x)=(2x+3)/(4x-1) defined on [1,2] is

The value of c in (0,2) satisfying the Mean Value theorem for the function f(x)=x(x-1)^(2), x epsilon[0,2] is equal to

The value of c in (0,2) satisfying the Mean Value theorem for the function f(x)=x(x-1)^(2), x epsilon[0,2] is equal to

If f is a real valued function such that f(x+y)=f(x)+f(y) and f(1)=5 , then the value of f(100) is