CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Evaluation of a Determinant

If,show that ...

Question

If, show that exists for all real x, and find it.

Open in App

Solution

It is known that,

Therefore, when x ≥ 0,

In this case, and hence,

When x < 0,

In this case, and hence,

Thus, for, exists for all real x and is given by,

Suggest Corrections

thumbs-up

0

Similar questions

Q. If , show that exists for all real x , and find it.

f (x) = {| x |}^{3}

f^{''} (x)

exists for all real

x

$I f f (x) = | x |^{3}, s h o w t h a t f^{''} (x) e x i s t s f o r a l l x a n d f i n d i t .$

Q. Suppose that for all

x, y \in R, f (x + y) = f (x) . f (y)

f^{'} (0)

exist then show that

f (x)

exists and equals to

f (x) \cdot f^{'} (0)

x \in R

R

be the set of real numbers and

f : R \to R

f (x) = \sqrt{| x |} - log (1 + | x |)

. We now make the following assertions:
I. There exists a real number

A

f (x) \leq A

x

.
II. There exists a real number

B

f (x) \geq B

x

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Evaluation of Determinants

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Evaluation of a Determinant

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon