C4 - Formulae to learn

Tech Wilkinson
Flashcards by , created over 5 years ago

OCR Mathematics Core 4

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Tech Wilkinson
Created by Tech Wilkinson over 5 years ago
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Question Answer
\(f(x) = \sin kx\) \(f'(x) = k \cos kx\)
\(f(x) = \cos kx\) \(f'(x) = -k \sin kx\)
\(f(x) = \tan kx\) \(f'(x) = k \sec^2kx\)
\(\int \cos kx dx\) \(\frac{1}{k} \sin kx + c\)
\(\int \sin kx dx\) \(- \frac{1}{k} \cos kx + c\)
\(\int f'(g(x))g'(x)dx\) \(f(g(x)) + c\)
\(|xi + yj + zk|\) \(\sqrt {x^2 + y^2 + z^2}\)
\((ai + bj + ck) * (xi + yj + zk)\) \(ax + by + cz\)
a*b \(|a|*|b| \cos \theta\)
Equation of line through \(a\) parallel to \(b\) \(r = a + tb\)