If the function `f(x)=x^3-6x^2+a x+b` defined on [1,3] satisfies Rolles theorem for `c=(2sqrt(3)+1)/(sqrt(3)` then find the value of `aa n db`

If the function f(x)=a x^3+b x^2+11 x-6 satisfies conditions of Rolles theorem in [1,3] and f'(2+1/(sqrt(3)))=0, then values of a and b , respectively, are (A) -3,2 (B) 2,-4 (C) 1,-6 (D) none of these

Verify Rolle's theorem for f(x) = sqrt(1 -x^(2)), -1 le x le 1

If Rolle's theorem holds for f(x)=x^(3)+bx^(2)+ax+5 on [1, 3] with c=(2+1/sqrt3) find the values of a and b.

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

If the function f(x)={A x-B ,xlt=1 3x ,1

If the function f(x)={A x-B ,xlt=1 3x ,1

The function f(x)=x(x+4)e^(-x//2) has its local maxima at x=adot Then (a) a=2sqrt(2) (b) a=1-sqrt(3) (c) a=-1+sqrt(3) (d) a=-4

Verify Rolle's theorem for the following f(x) = x^(3) -3x + 3 " in " 0 le x le 1

Find the domain of the function: f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2))