﻿ Let h(x) – min (x; x2) for every real number of x. then which one is true, : Kaysons Education

# Let h(x) – min (x; x2) For Every Real Number Of x. Then Which One Is True,

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

h is not differentiable at two value of x.

Here h (x) = min {xx2} can be drawn on graph in two steps.

(a) Draw the graph of y = x and y = x2 also find their point of intersection.

i.e., x = x2 ⇒ x = 0, 1

(b) To find h (x) = min, {xx2} neglecting the graph above the point of intersection we get,

Thus, from the given graph,

which shows h (x) is continuous for all x. but not differentiable at x = {0, 1}

Thus h (x) is not differentiable at two values of x.

#### SIMILAR QUESTIONS

Q1

The number of real solutions of the equation ex + x = 0 is:

Q2

The number of real solutions of the equation

Q3

The number of solution of the equation

Q4

How many roots does the following equation possess

Q5

The number of real solution of the equation

Q6

Number of solution of  is equal to:

Q7

Number of roots of

Q8
Q9

The number of solution of the equation

where [.] denotes the greatest integer function is: