Applications of...

If f(x) =  ; g(x) = where 0

 f : R → R be a differentiable function x ∈R. If tangent drawn to the curve at any point x ∈(a, b) always lie below the curve, then

A value of C for which the conclusion of Mean Value Theorem holds for the function f(x) = log_e  x on the interval [1, 3] is

The function f(x) = x(x + 3) e^–x/2 satisfies all the conditions of Rolle ’s theorem in [–3, 0]. The value of c which verifies Rolle ’s theorem, is

 x³  – 3x²  –  9x + 20 is

 f(x) = x²  - x sin x is

The number of values of `c 'of Lagrange 's mean value theorem for the function,

f(x) = (x – 1) (x – 2) (x – 3), x ∈(0, 4) is

If f(x) and g(x) are differentiable in [0, 1] such that f(0) = 2, g(0) = 0, f(1) = 6, g(1) = 2, then Rolle 's theorem is applicable for which of the following

Equation 3x²  + 4ax + b = 0 has at least one root in (0, 1) if

Function for which LMVT is applicable but Rolle 's theorem is not

 LMVT is not applicable for which of the following ?