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Year 12s: what will be the first way you research your future options? >>

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AS1 Pure maths differentiation question HELP

3√x/2+8/x+1

does anyone know how to solve this question by using dy/dx ??

You need to express the roots as fractional powers and then you can use the normal rules of differentiation

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Original post by computerwizz

3√x/2+8/x+1

does anyone know how to solve this question by using dy/dx ??

Firstly you haven't defined y.
Secondly, what do you mean "by using dy/dx"? Do you mean "how do I differentiate this expression"?

OP

Original post by RDKGames

Firstly you haven't defined y.
Secondly, what do you mean "by using dy/dx"? Do you mean "how do I differentiate this expression"?

yes

OP

Original post by nerak99

You need to express the roots as fractional powers and then you can use the normal rules of differentiation

can u please explain how to do that please? I don't understand?!

Study Forum Helper

Original post by computerwizz

can u please explain how to do that please? I don't understand?!

\sqrt{x}=x^{1/2}

and

\frac{1}{x}=x^{-1}

so just use these definitions.

OP

Original post by RDKGames

\sqrt{x}=x^{1/2}

and

\frac{1}{x}=x^{-1}

so just use these definitions.

okay thanks

<br>
I will assume that is y = 3/2 * √x + 8/x +1

Can re-write this as y = 3/2 * x^1/2+ 8x^-1 + 1

dy/dx = ¾ * x^-1/2 – 8x^-2 + 0

or dy/dx = 3/4√x – 8/x²

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