Tabla de Derivadas
| Función | Derivada |
| y = c | y' = 0 |
| y = c·x | y' = c |
| y = xn | y' = n·xn - 1 |
| y = x-n | y' = -n/x(x + 1) |
| y = x½ | y' = 1/(2·√x) |
| y = xa/b | y' = x(a/b - 1)/(b/a) |
| y = 1/x | y' = -1/x² |
| y = sen x | y' = cos x |
| y = cos x | y' = -sen x |
| y = tg x | y' = 1/cos² x |
| y = cotg x | y' = -1/sen² x |
| y = sec x | y' = sen x/cos² x |
| y = cosec x | y' = -cos x/sen² x |
| y = arcsen x | y' = 1÷(√1 - x²) |
| y = arccos x | y' = -1÷(√1 - x²) |
| y = arctg x | y' = 1/(1 + x²) |
| y = arccotg x | y' = -1/(1 + x²) |
| y = arcsec x | y' = 1÷(x·√x² - 1) |
| y = arccosec x | y' = -1÷(x·√x² - 1) |
| y = sh x | y' = ch x |
| y = ch x | y' = sh x |
| y = th x | y' = sech²x |
| y = coth x | y' = -cosech²x |
| y = sech x | y' = -sech x·th x |
| y = cosech x | y' = -cosech x·coth x |
| y = ln x | y' = 1/x |
| y = log x | y' = 1/x |
| y = loga x | y' = 1/x·log a |
| y = ex | y' = ex·ln e = ex |
| y = ax | y' = ax·log a |
| y = xx | y' = xx·(log x + 1) = xx·(ln x + 1) |
| y = eu | y' = eu·u' |
| y = u·v | y' = u'·v + v'·u |
| y = u/v | y' = (u'·v - u·v')/v² |
| y = uv | y' = uv·[v'·log u + u'·v/u] |
| y = logu v | y' = (u·v'·log u - u'·v·log v)÷(u·v·log² u) |
Autor: Ricardo Santiago Netto (Administrador de Fisicanet)
San Martín. Buenos Aires. Argentina.
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