This is third part of multipart q2

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

- $f$ is said to have a maximum value in $I$ , if there exist a point c in I such that $f(c) \geq f (x)$ for all $x \in I$.The number $f( c)$ is called the maximum value of f in I and the point c is called a point of maximum value of f in I
- $f$ is said to have a minimum value in $I$ , if there exist a point $c$ in I such that $f(c) \leq f (x)$ for all $x \in I$.The number $f(c)$ is called the minimum value of f in I and the point $c$ in this case is called a point of minimum value of $f$ in I
- $f$ is said to have a extreme value in $I$ , if there exist a point $c$ in I such that f(c) is either a maximum value or minimum value of $f$ in $I$. The number $f (c)$ in this case is called the extreme value of $f$ in $I$ and the point $c$ is called the extreme point.

$h(x)=\sin (2x)+5$

Let $f(x)=\sin (2x)+5$

Maximum value of $\sin 2x$ is $1$

$\therefore$ Maximum value of $\sin 2x+5=1+5=6$

Minimum value of $\sin 2x$ is $-1$

$\therefore$ Minimum value of $\sin 2x+5=-1+5=4$

Ask Question

Take Test

x

JEE MAIN, CBSE, AIPMT Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...