R D Sharma Solutions for Chapter: Maxima and Minima, Exercise 1: EXERCISE

Find the maximum and the minimum values, if any, without using derivatives of the following.

$f\left(x\right)=-{\left(x-1\right)}^2+2$ on R ?

Find the maximum and the minimum values, if any, without using derivatives of the following 

$f\left(x\right)=|x+2|\text{on} R$.

Find the maximum and the minimum values, if any, without using derivatives of the following 

 $\mathrm{f}\left(\mathrm{x}\right)=\sin 2\mathrm{x}+5$ on $\mathrm{ℝ}$

Find the maximum and the minimum values, if any, without using derivatives of the following 

$f\left(x\right)=\left|\sin 4x+3\right|$ on R ?

Find the maximum and the minimum values, if any, without using derivatives pf the following 

$f\left(x\right)=2x^3+5$ on $\mathrm{ℝ}$

Find the maximum and the minimum values, if any, without using derivatives pf the following 

$\mathrm{f}\left(\mathrm{x}\right)=-|\mathrm{x}+1|+3$ on $\mathrm{R}$ .

Find the maximum and the minimum values, if any, without using derivatives of the following 

$\mathrm{f}\left(\mathrm{x}\right)=16{\mathrm{x}}^2-16\mathrm{x}+28$ on $\mathrm{R}$ ?

Find the maximum and minimum values, if any, without using derivatives of the following functions:

$f\left(x\right)=x^3-1$ on $\mathrm{ℝ}$.