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TABLA DE REGLAS DE DERIVACIÓN
Contributed by: Francisco López Moreno
__1. y = kA. y ' = 0
__2. y = k . u(x)B. y' = n . xn-1
__3. y = log xC. y' = 1
__4. y = LxD. y' = u'(x).v(x) + u(x).v'(x)
__5. y = u(x) + v(x)E. y' = k . u'(x)
__6. y = u(x) . v(x)F. y' = 1 / (2 . x1/2)
__7. y = u(x) / v(x)G. y' = u'(x) + v'(x)
__8. y = xH. y' = [u'(x).v(x) - u(x).v'(x)] / v2(x)
__9. y = x1/2I. y' = 1 / (x . L10)
__10. y = xnJ. y' = 1 / x
__11. y = 3xA. y' = -1 / (1-x2)1/2
__12. y = arccos xB. y' = L3 . 3x
__13. y = arcsen xC. y' = ex
__14. y = arctg xD. y' = cos x
__15. y = cos xE. y' = - sen x
__16. y = cotg xF. y' = 1 / ( 1 + x2)
__17. y = exG. y' = -1 - cotg2 x
__18. y = sen xH. y' = 1 + tg2 x
__19. y = tg xI. y' = 1 / (1-x2)1/2
__20. y = uv _siendo u,v funcionesJ. y' = uv . Lu . v´ + v . uv-1 . u´
__21. y = 2u(x)A. y' = n . [u(x)]n-1. u´(x)
__22. y = arccos[u(x)]B. y' = 1 / [3 . (x2)1/3]
__23. y= arctg[u(x)]C. y' = 1 / [4 . (x3)1/4]
__24. y = eu(x)D. y' = 2u(x) . u'(x) . L2
__25. y = log2(1-2x)E. y' = u'(x) / u(x)
__26. y = L[u(x)]F. y' = eu(x) . u'(x)
__27. y = tg[u(x)]G. y' = u'(x) / [1 + u2(x)]
__28. y = x1/3H. y' = u'(x) / cos2[u(x)]
__29. y = x1/4I. y' = - u'(x) / [1-u2(x)]1/2
__30. y = [u(x)]nJ. y' = -2 / [(1-2x)L2]
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