Question:
The maximum value of \( \left| \frac{1}{x} \right| \) is:
The maximum value of \( \left| \frac{1}{x} \right| \) is:
Show Hint
To find the maximum value of an absolute value function, analyze the critical points using the first derivative test.
Updated On: Apr 27, 2026
- \( c \)
- \( e^c \)
- \( \frac{1}{e} \)
- \( e \)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Analyze the function.
To find the maximum value of \( \left| \frac{1}{x} \right| \), consider its behavior as \( x \) varies.
Step 2: Conclusion. The maximum value of \( \left| \frac{1}{x} \right| \) is \( \frac{1}{e} \).
Step 2: Conclusion. The maximum value of \( \left| \frac{1}{x} \right| \) is \( \frac{1}{e} \).
Was this answer helpful?
0
0
Top VITEEE Mathematics Questions
- The product of all values of $(\cos \alpha + i \sin \alpha)^{3/5}$ is equal to
- A football is inflated by pumping air in it. When it acquires spherical shape its radius increases at the rate of 0.02 cm/s. The rate of increase of its volume when the radius is 10 cm is ___________$\pi$ cm/s
- The interval in which the function $f\left(x\right) = \frac{4x^{2}+1}{x}$ is decreasing is :
- If the normal to the curve $y = f(x)$ at $(3,4)$ makes an angle $\frac{3 \pi}{4}$ with the positive x-axis, then $f'(3)$ is equal to
- The principal value of $sin^{-1} \left(sin \frac{5\pi}{3}\right)$ is
View More Questions
Top VITEEE Functions Questions
- If $R$ be a relation defined as $aRb iff |a - b| > 0$, then the relation is
- Let $A = \{1,2,3,....., n\}$ and $B = \{a,b,c\}$, then the number of functions from $A$ to $B$ that are onto is
- Let $S$ be a set containing $n$ elements. Then, number of binary operations on $S$ is
- If $D$ is the set of all real $x$ such that $1-e^{\left(1/ x\right)-1}$ is positive, then $D$ is equal to
- Let \([\,]\) denote the greatest integer function and \(f(x)=[\tan^2 x]\). Then
View More Questions
Top VITEEE Questions
- A motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1 $ to $P_0$ is
- A $30\,V-90\,W$ lamp is operated on a $120\,V$ DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance is
- Which of the following is not a characteristic of transition elements ?
- Most crystals show good cleavage because their atoms, ions or molecules are
- Which of the following sets consists only of essential amino acids ?
View More Questions