FunctionHard
Question
A value of C for which the conclusion of Mean Value Theorem holds for the function f(x) = logex on the interval [1, 3] is
Options
A.2 log3e
B.
loge3
loge3C.log3e
D.loge3
Solution
Using mean value theorem
f′(c) =
⇒
⇒ c =
= 2log3e.
f′(c) =

⇒

⇒ c =
= 2log3e.Create a free account to view solution
View Solution FreeMore Function Questions
Let $\alpha,\beta \in \mathbb{R}$ be such that the function$$f(x) = \left\{ \begin{matrix} 2\alpha\left( x^{2} - 2 \righ...If [2 cos x] + [sin x] = - 3, then the range of the function, f(x) = sin x + √3 cos x in [0, 2 π] is: (where ...If f(x) = , then (fofof) (x) is equal to-...The period of function sin +cos is-...Let f : (2, 4) → (1, 3) be a function defined by f (x) = x - (where [.] denotes the greatest integer function), th...