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# Quick differentiation question

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1. Hi, I was wondering how to go about differentiating a term such as ?
Thanks.
2. You use the indices rule to change the fraction then you differentiate it

Wait sorry ignore that
3. (Original post by Zenzation)
Hi, I was wondering how to go about differentiating a term such as ?
Thanks.
Differentiation is a linear operator so:

And:

Secondly, we have the rule that:

Can you combine the above to differentiate your term?

Hint: here, you'll want to use the first rule with and the third rule with .
4. (Original post by Zacken)
Differentiation is a linear operator so:

And:

Secondly, we have the rule that:

Can you combine the above to differentiate your term?

Hint: here, you'll want to use the first rule with and the third rule with .
Could I just differentiate the top resulting in and then be left with ?
5. (Original post by Zenzation)
Could I just differentiate the top resulting in and then be left with ?
Yes, that's essentially what I said about the derivative being a linear operator.
6. (Original post by Zacken)
Yes, that's essentially what I said about the derivative being a linear operator.
Ah thank you for clearing that up, I was trying to treat the whole thing as one. don't know why that didn't spring to mind in the first place lol.
7. (Original post by Zenzation)
Ah thank you for clearing that up, I was trying to treat the whole thing as one. don't know why that didn't spring to mind in the first place lol.
Yep, no worries! Glad it's clicked now.

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