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# razon de cambio

Module by: diego diaz torres. E-mail the author

Summary: razon de cambio

Razon de Cambio

• La altura de un triangulo equilatero aumenta a razon de 3 cm/seg. ?`cual es la velocidad de aumento del area?

DESARROLLO:

A = a · h 2 A = a · h 2
(1)
a 2 = a 2 4 + h 2 a 2 = a 2 4 + h 2
(2)
3 4 a 2 = h 2 3 4 a 2 = h 2
(3)
a = 2 3 h a = 2 3 h
(4)
A = h 2 3 dA dt = 2 3 h dh dt A = h 2 3 dA dt = 2 3 h dh dt
(5)
dA dt = 2 3 h · 3 cm / seg dA dt = 2 3 h · 3 cm / seg
(6)
dA dt = 2 3 h cm / seg dA dt = 2 3 h cm / seg
(7)

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