For the function $f(x) = |\sin 4x + 3|$, then which of the following statements are correct ?

A. Minimum value of $f(x)$ is 2

B. There is no minimum value

C. Maximum value of $f(x)$ is 4

D. Maximum value of $f(x)$ is 3

Choose the correct answer from the options given below:

The interval in which $f(x)=\frac{x}{\log x}$ is increasing, is:

The minimum value of $f(x) = |2x - 1|$ is

In which of the following interval, the function $f(x) = \frac{x}{\log x}$ is decreasing?

A car is moving along the curve $y = x^3 + 12$. The point(s) on the curve at which the rate of change of its y-coordinate at a certain time is 3 times the rate of change of its x-coordinate is/are

If the function $f(x) = 2x^3 + 9x^2 + 12x-1$ is given,then $f(x)$ have

An angle $\theta, 0<\theta<\frac{\pi}{2}$, which increases twice as fast as its sine, is