R D Sharma Solutions for Chapter: Maxima and Minima, Exercise 1: MULTIPLE CHOICE QUESTIONS (MCQs)

If $f\left(x\right)$ attains a local minimum at $x=c$, then write the values of $f^{\text{'}}\left(c\right)$ and $f^{\text{'}\text{'}}\left(c\right)$.

The minimum value of $\frac{x}{{\log }_{e}x}$ is

$f\left(x\right)=1+2\sin x+3{\cos }^{2}x, 0\le x\le \frac{2\mathrm{\pi }}{3}$ is

The function $f\left(x\right)=2x^3-15x^2+36x+4$ is maximum at $x=$ 

The maximum value of $f\left(x\right)=\frac{x}{4+x+x^2}$ on $[-1,1]$ is

Let $f\left(x\right) = 2x^3-3x^2-12x+5$ on $\left[-2, 4\right]$. The relative maximum occurs at $x=$

The minimum value of $x{\log }_{e}x$ is equal to

The minimum value of the function $f\left(x\right)=2x^3-21x^2+36x-20$ is