Question
Find the intervals on which the function $f(x)=\frac{x}{\log x}$ is increasing and decreasing.
✓
Answer
Get the step-by-step solution for this question inside the Vidyadip app.
Get the answer in the appNeed a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solve the following equations by the method of inversion $x – y + z = 4, 2x + y –3z = 0, x + y + z = 2.$
→A point source of light is hung 30 feet directly above a straight horizontal path on which a man of 6 feet in height is walking. How fast will the man's shadow lengthen and how fast the tip of shadow is move when he is walking away from the light at the rate of $100 ft / min$
→Solve the following differential equations:
→$\left(1+e^{\frac{x}{y}}\right) d x+e^{\frac{x}{y}}\left(1-\frac{X}{y}\right) d y=0$
Find the inverse of the following matrices by the adjoint method : $\left[\begin{array}{ccc}1 & 0 & 0 \\ 3 & 3 & 0 \\ 5 & 2 & -1\end{array}\right]$
→Simplify the following so that the new circuit has minimum number of switches. Also, draw the simplified circuit.
If $\bar{a}, \bar{b}, \bar{c}$ are unit vectors such that $\bar{a}+\bar{b}+\bar{c}=0$, then find the value of $\bar{a} \cdot \bar{b}+\bar{b} \cdot \bar{c}+\bar{c} \cdot \bar{a}$
→Prove that: $\int \sqrt{x^2-a^2} d x=\frac{x}{2} \sqrt{x^2-a^2}-\frac{a^2}{2} \log \left|x+\sqrt{x^2-a^2}\right|+c$
→$\int \frac{3 e ^{2 x}+5}{4 e ^{2 x}-5} d x$
→Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x + 6y – 3z = 63 .
Solve the differential equation $\cos (x+y) d y=d x$. Hence find the particular solution for $x=0$ and $y=0$.
→