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Differentiating Question!! watch

1. Hii!! Trying to do my homework on differentiating using the quotient, product and chain rules. I know how to use the actual formula and can write down the first line by putting both parts of fraction into equation but after that I'm stuck (with the simplifying)!

1. Differentiate x
sqrt x+3

2. Differentiate y = x sqrt 3 - x

3. Differentiate y = sqrt x
4x+2

Any help would be lovely! Thank you!
2. (Original post by ellieee1513)
Hii!! Trying to do my homework on differentiating using the quotient, product and chain rules. I know how to use the actual formula and can write down the first line by putting both parts of fraction into equation but after that I'm stuck (with the simplifying)!

1. Differentiate x
sqrt x+3

2. Differentiate y = x sqrt 3 - x

3. Differentiate y = sqrt x
4x+2

Any help would be lovely! Thank you!
Are you struggling with knowing which rule to use, or are you just stuck with simplifying?
With simplifying, look for common factors to take out, with the quotient rule, cancel brackets where you can.
The advice given to me was, however, to not simplify the differential if you need to put a value of x in to find the gradient of the curve at that x value. If you don't get the simplification exactly right, it'll mess up everything else you do afterwards (you might end up being asked to find the equation of a tangent or normal to the curve, etc) and it's not worth losing accuracy marks for. In other cases, you'll likely want to simplify though.
3. (Original post by ellieee1513)
Hii!! Trying to do my homework on differentiating using the quotient, product and chain rules. I know how to use the actual formula and can write down the first line by putting both parts of fraction into equation but after that I'm stuck (with the simplifying)!

1. Differentiate x
sqrt x+3

2. Differentiate y = x sqrt 3 - x

3. Differentiate y = sqrt x
4x+2

Any help would be lovely! Thank you!
Can you post some working, or upload an image, so we can see how far you've got?

Are these supposed to be

and

respectively, or something different? You need to use brackets to make your meaning clear if you don't know how to use Latex

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Updated: November 7, 2015
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