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Constant Rule
^{d}/_{dx} [c] = 0

Power Rule
^{d}/_{dx }[x^{n}] = nx^{n1}

Constant Multiple Rule
^{d}/_{dx }[c f(x)] = c ^{d}/_{dx }[f(x)]^{}

Extended Power Rule
^{d}/_{dx }[cx^{n}] = cnx^{n1}

^{d}/_{dx }[f(x) + g(x)]
^{d}/_{dx }[f(x)] + [g(x)]



^{d}/_{dx} [tanx]
sec^{2}x

Product Rule
^{d}/_{dx }[f(x) * g(x)] = [f(x) * g '(x) + g(x) * f '(x)]

Quotient Rule
^{d}/_{dx }[f(x) / g(x)] = [g(x) * f '(x)  f(x) * g '(x)] \ [g(x)]^{2}

