Question
Check whether the function g(x) = log x is maxima or minima.

Answer

g(x) = log x
$\therefore \quad g^{\prime}(x)=\frac{1}{x}$
Since log(x) is defined for a positive number x,
g'(x) > 0 for any x.
Therefore, there does not exist $c \in R$ such that $g^{\prime}(c)$
Hence, function g does not have maxima or minima.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Find the area of the region bounded above by $y=x^2+1$ bounded below by and bounded on the sides by x = 0 and x = 1
The value of a car depreciates by 12.5 % every year. By what percent will the value of the car decrease after 3 years?
Find the effective rate which is equivalent to nominal rate of 10% p.a. compounded monthly. [Given that: $\left.(1.00833)^{12}=1.1047\right]$
Given $A=\left[\begin{array}{cc}2 & -3 \\ -4 & 7\end{array}\right]$, compute $A^{-1}$ and show that $2 A^{-1}=9 I-A$.
If $A=\left[\begin{array}{ccc}2 & 0 & 1 \\ 2 & 1 & 3 \\ 1 & -1 & 0\end{array}\right]$, then find $\left(A^2-5 A\right)$.
Find a matrix $A$ such that $2 A-3 B+5 C=0$, where
$B=\left[\begin{array}{ccc}-2 & 2 & 0 \\3 & 1 & 4\end{array}\right] \text { and } C=\left[\begin{array}{ccc}2 & 0 & -2 \\7 & 1 & 6\end{array}\right]$
What is statistic?
Find the present value of a sequence of payments of ₹8,000 made at the end of each 6 months and continuing forever if money is worth 4% compounded semi-annually.
What causes secular trend ?