Derivative Identities

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f(x) = sin(u)
f'(x) = u'cos(u)
f(x) = ln(u)
f'(x) = u'/u
f(x) = sec(u)
f'(x) = u'sec(u)tan(u)
f(x) = 3^x
f'(x) = 3^x(ln3)
f(x) = 3^u
f'(x) = u'(3^u)ln3
f(x) = e^u
f'(x) = u'(e^u)
f(x) = sinx
f'(x) = cosx
f(x) = cosx
f'(x) = -sinx
f(x) = tanx
f'(x) = sec²x
f(x) = cotx
f'(x) = -csc²x
f(x) = secx
f'(x) = secxtanx
f(x) = cscx
f'(x) = -cscxcotx