Maths Rules

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Product Rule

Used when f(x) = u.v

((u'v)+(v'u)) =dy/dx

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Chain Rule

For when f(x) = f(u)^n

dy/dx = (n-1)(f'(u))^n-1

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Quotient Rule

For when f(x) = u/v

dy/dx = ((u'v)-(v'u))/v^2

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Trigonometric Identities

sin2x + cos2x = 1
1 + cot2x = cosec2x
tan2x + 1 = sec2x
cos2x = cos2x - sin2x = 2cos2x - 1 = 1 - 2sin2x
sin2x = 2sinx cosx
tanx = sinx
cosx

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