" (i) "f(x)=x^(2)-3x-1;a=(-11)/(7),b=(13)/(7)

In the mean value theorem f(b)-f(a)=(b-a)f'(c ), (a lt c lt b)," if " f(x)=x^(3)-3x-1 and a=-(11)/(7), b=(13)/(7) , find the value of c.

Verify LMVT for the following function f(x)=x^(2)-3x-1,x in[-(11)/(7),(13)/(7)]

3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11;x!=(3)/(5),-(1)/(7)

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo) (b) (1,(11)/7) (1,7/3) (d) (1,7/5)

The range of the function f(x)=(x^(2)+x+2)/(x^(2)+x+1),x in R, is (1,oo)(b)(1,(11)/(7))(1,(7)/(3)) (d) (1,(7)/(5))

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo) (b) (1,(11)/7) (1,7/3] (d) (1,7/5)

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (1,oo) (b) (1,(11)/7) (c) (1,7/3) (d) (1,7/5)

Let f(x)=int(x^(2)dx)/((1+x^(2))(1+sqrt(x^(2)+1))) and f(0)=0 Then value of f(1) will be (7)/(11)(tan(theta)/(2))_((11)/(7))^((11)/(7))+C (b) (7)/(11)((cos theta)/(2))^((11)/(7))+C(7)/(11)(s int h(eta)/(2))^((11)/(7))+C (d)none of these