$x\in \Re$$\\ f\left( x \right) =x+x+x+......x\quad \quad (x\quad times)\\$$Then\quad first\quad derivative\quad of\quad f\left( x \right) \quad will\quad be\quad x\quad or\quad 2x?$
The confusion arrived due to a problem similar to it.

This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .

Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.

Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown

Appears as

*italics* or _italics_

italics

**bold** or __bold__

bold

- bulleted - list

bulleted

list

1. numbered 2. list

numbered

list

Note: you must add a full line of space before and after lists for them to show up correctly

@Krishna Sharma
–
Yeah , adding x times x itself implies that x has to be a whole number. Thus its differentiation would have no meaning.Thanks and sry

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in`\(`

...`\)`

or`\[`

...`\]`

to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewest@Sandeep Bhardwaj sir , @Brian Charlesworth sir and @Azhaghu Roopesh M please help.

Log in to reply

Is $x$ an integer? If not then the expression $x^2 = x+ x+ \dots \dots x \text{ times }$ doesn't make sense.

Log in to reply

If we don't restrict x to integers ,then ? (Addition of continuous functions should yield a continuous function )

Log in to reply

If x is an integer then function won't be continuous hence Differentiating it would be meaningless.

Log in to reply

$x\quad \in \quad \Re$

But x doesn't only belong to integers.Log in to reply

$x = 2.5$.

Try writing down the function forLog in to reply

$x^2$ 'x' times x when x is not integer?

Then how can you writeLog in to reply

Log in to reply

y=x is a continuous function. Thus, y=x+x+x+....x will also be a continuous function for all x belongs to real.

Log in to reply