Quotient rule for differentiation:

derivative of f(x)/g(x) = [g(x)f'(x)- f(x)g'(x)]/g(x)^2

Product rule for differentiation:

derivative of f(x)g(x) = f(x)g'(x) + g(x)f'(x)

Chain rule

derivative of f(x)^2 is

2f(x)f'(x)

in general

derivative of f(x)^n is

n(f(x))^(n-1)f'(x)

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