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September 4, 2015

Homework Help: Calculus

Posted by sh on Sunday, December 13, 2009 at 10:33pm.

Find the intervals of increase and decrease for the following function:

y=x√((x-1)^4)
y'=[(4-x)^(1/2)]+(1/2)((4-x)^(-1/2))(-1)(x)
y'=[(4-x)^(1/2)]-(1/2x)((4-x)^(-1/2))
y'=((4-x)^(-1/2))[((4-x)^-1)-1/2x]

I've already factored it, how come the zeros of the derivative aren't 4 and 0?

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