indigobluesss
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I have my mock tomorrow, and I was wondering what proofs do we need to know for the formulae? (e.g. product rule etc.)
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Nirgilis
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Moved to the maths forum where you are more likely going to find the answer
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halpme
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Product rule, quotient rule (in formula book), chain rule.
Trignometric identities:
\tan\theta = \frac{\sin\theta}{\cos\theta}
\sin^2\theta+\cos^2\theta=1
1+\tan^2\theta=\sec^2\theta (in formula book)
1+\cot^2\theta=\csc^2\theta (in formula book)
\sin(A\pm B)= \sin(A) \cos(B) \pm \cos(A) \sin(B) (in formula book)
\cos(A\pm B)= \cos(A) \cos(B) \mp \sin(A) \sin(B) (in formula book)
\tan(A \pm B)= \frac{\tan(A) \pm \tan(B)}{1 \mp \tan(A) \tan(B)} (in formula book)
The derivation of \tan(A \pm B)

Quotient rule is in formula book as:
\frac{f(x)}{g(x)}=\frac{f'(x)g(x  )-f(x)g'(x)}{(g(x))^2}, if you can understand that, fine - if not, you'll need to remember it.

You'll also need to know the differentials of \frac{d}{dx}\cos(x)= -\sin(x) and \frac{d}{dx}\sin(x)=\cos(x)

Chain rule:
\frac{dy}{dx}=\frac{dy}{du} \times \frac{du}{dx}

Product rule:
\frac{d}{dx}uv=u\frac{dv}{dx} \times v\frac{du}{dx}


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Formula book is allowed and attached:
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