# What is the differentation of #1/x#?

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If we write this as #x^(-1)# , then it is #- 1/x^2# .

But, my teacher has given it as #logx# .

Which is correct?

If we write this as

But, my teacher has given it as

Which is correct?

##### 2 Answers

I think you got confused, or your teacher did, as it is the other way around:

#### Explanation:

You can easily derive it from first principles:

Your are answer is correct

#### Explanation:

The answer that your teacher had given to you is not differentiation, rather it is integration of

The method of integration exactly the converse of differentiation.

Example,

Differentiation of

Integration of

So, tell your teacher to make corrections

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