Application of DerivativeHard
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) =
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) =
f(5) = 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
If tangent of the curve x = t2 − 1, y = t2 − t is perpendicular to x- axis, then-...Let f(x) = (x - 4) (x - 5) (x - 6) (x - 7) then -...The function f(x) = t(et - 1)(t - 1)(t - 2)3(t - 3)5dt minimum at x equals to...A particle moves along the curve y = x2 + 2x Then the points on the curve are the x and y coordinates of the particle ch...The equation of the tangents to the curve y = (x3 − 1) (x − 2) at the points where it meets x– axis are-...