Further Mathematics Differential Equation Watch

marcuskhoo
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Hi,

Could anyone help me with this question? Much thanks and appreciation
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RDKGames
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(Original post by marcuskhoo)
Hi,

Could anyone help me with this question? Much thanks and appreciation
What are you stuck on? How much have you done?
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NotNotBatman
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For the first part, use applications of the chain rule.  \frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}
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marcuskhoo
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Hey bro, thanks for replying.
I'm relatively new to this chapter. May i know how do you differentiate y=f(x), and x=e^u to prove dy/du?
I need little of guidelines regarding to that.
Thank you mate. Cheers
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RDKGames
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(Original post by marcuskhoo)
Hey bro, thanks for replying.
I'm relatively new to this chapter. May i know how do you differentiate y=f(x), and x=e^u to prove dy/du?
I need little of guidelines regarding to that.
Thank you mate. Cheers
y=x=e^u

\frac{dy}{dx}=1 \Rightarrow x\frac{dy}{dx}=x

\frac{dy}{du}=e^u=x
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NotNotBatman
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(Original post by marcuskhoo)
Hey bro, thanks for replying.
I'm relatively new to this chapter. May i know how do you differentiate y=f(x), and x=e^u to prove dy/du?
I need little of guidelines regarding to that.
Thank you mate. Cheers
You know that  \frac{d}{du}(e^u) = e^u right?

You want  \frac{dy}{dx} and by the chain rule that is \frac{dy}{du} \times \frac{du}{dx} as f(g(x))' = f'(g(x))\times g'(x)

Also \frac{dy}{dx} = \frac{1}{\frac{dx}{dy}}
Use dy/dx in terms of e^u and show what the question asks for.
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marcuskhoo
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Correct me if I am wrong
Du/Dx =e^u

However, may I know how to differentiate y=f(x) making it in terms of dy/du?
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marcuskhoo
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NotNotBatman RDKGames
Thank you for your help. I misunderstood the question as i take function of as f(x) .
Thank you for your time once again.
appreciated it

Blessed weekend, Cheers
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NotNotBatman
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(Original post by marcuskhoo)
NotNotBatman RDKGames
Thank you for your help. I misunderstood the question as i take function of as f(x) .
Thank you for your time once again.
appreciated it

Blessed weekend, Cheers
So, you know how to do it right?
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Himtiaz
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(Original post by marcuskhoo)
Hi,

Could anyone help me with this question? Much thanks and appreciation
Is this FP1 or FP2?
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marcuskhoo
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(Original post by NotNotBatman)
So, you know how to do it right?
Yeaps. Thank you mate
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NotNotBatman
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(Original post by Himtiaz)
Is this FP1 or FP2?
This is FP2.
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NotNotBatman
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(Original post by marcuskhoo)
Yeaps. Thank you mate
Great. No problem.
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marcuskhoo
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(Original post by Himtiaz)
Is this FP1 or FP2?
Hey ,
May I know what is FP1/FP2?
I am taking CIE A-levels further maths.
Perhaps you're referring to Edexel or OCR Further maths?
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Himtiaz
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[QUOTE=marcuskhoo;67736800]Hey ,
May I know what is FP1/FP2?
I am taking CIE A-levels further maths.
Perhaps you're referring to Edexel or OCR Further maths?[/QU

Further Pure 1 & Further Pure 2
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