Application of DerivativeMedium
Question
If f(x) is differentiable in the interval [2, 5], where f(2) =
and f(5) =
, then there exists a number c, 2 < c < 5 for which f′(c) =
Options
A.1/2
B.1/5
C.1/10
D.none
Solution
f(2) =
f(5) = 
by L. M. V. T f(x) is differentiable x ∈ (2, 5)
f′(c) =

by L. M. V. T f(x) is differentiable x ∈ (2, 5)
f′(c) =
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
At any point of a curve (subtangent) x (subnormal) is equal to the square of the-...At what point the tangent line to the curve y = cos(x + y), (-2π ≤ x ≤ 2π) is parallel to x + 2y =...If normal to the curve y = f (x) at a point makes 135o angle with x-axis, then at that point dy/dx equals-...-If f(x) = sin3x + λ sin2 x ; -π/2 < x < π/2, then the interval in which l should lie in order that...If a, b, c are positive numbers in G.P. and log , log and log are in A.P., then a, b, c forms the sides of a triangle wh...