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# Differentiating with fractions watch

1. How would I go about differentiating this? I'm confused because of the fraction:

3x^2 + 7/2x
2. 7/2 X^-1 takes the fraction away I think? I don’t know if that helps you
3. (Original post by CML2000)
7/2 X^-1 takes the fraction away I think? I don’t know if that helps you
By that I mean the X can be taken up top, not that the fraction completely disappears sorry 😅
4. (Original post by thedecorator33)
How would I go about differentiating this? I'm confused because of the fraction:

3x^2 + 7/2x
Hi there
I've moved your thread to the Maths forum where hopefully you'll get more answers In future, it's best to select the subject from the list here and create a thread in there instead If you want to see where threads belong, check out this thread

The fraction doesn't change anything as it's just a coefficient. You'd feel confident differentiating
It's exactly the same method for

Unless the you mean the fraction is ? in which case you need to put it in terms of then differentiate as normal
5. (Original post by thedecorator33)
How would I go about differentiating this? I'm confused because of the fraction:

3x^2 + 7/2x
To start, you should start by writing it properly. Is it or or or...?
6. (Original post by Zacken)
To start, you should start by writing it properly. Is it or or or...?

it's
7. (Original post by thedecorator33)
There was no other way of me writing it differently. Its '7 over 2x' so 2x is the denominator while 7 is the numerator.
So... 3x^2 + [7/(2x)]

Anyway you know that the derivative of a sum is the sum of derivatives and the derivative of x^n is nx^(n-1) and 7/(2x) = (7/2) * x^(-1) and the derivative of af(x) is a f'(x).
8. (Original post by Lemur14)
Hi there
I've moved your thread to the Maths forum where hopefully you'll get more answers In future, it's best to select the subject from the list here and create a thread in there instead If you want to see where threads belong, check out this thread

The fraction doesn't change anything as it's just a coefficient. You'd feel confident differentiating
It's exactly the same method for

Unless the you mean the fraction is ? in which case you need to put it in terms of then differentiate as normal
Thank you for the reponse. It is the second one. How would I go about putting it in term of ?
9. (Original post by thedecorator33)
Thank you for the reponse. It is the second one. How would I go about putting it in term of ?
So you know that
So what would be the value of n if ?
Then you can write it as
10. (Original post by Lemur14)
So you know that
So what would be the value of n if ?
Then you can write it as
Ah so n would be 7/2
11. Duplicate post
12. (Original post by thedecorator33)
Ah so n would be

Ah so n would be 7/2
Yep n would be
Then you should be able to differentiate as normal
No problem, glad I could help
13. (Original post by Zacken)
So... 3x^2 + [7/(2x)]

Anyway you know that the derivative of a sum is the sum of derivatives and the derivative of x^n is nx^(n-1) and 7/(2x) = (7/2) * x^(-1) and the derivative of af(x) is a f'(x).
I think this is a bit too complicated for my level haha. Thanks for the help anyways.

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