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September 20, 2014

September 20, 2014

Posted by **Confused** on Wednesday, February 21, 2007 at 1:42am.

Find the second derivative.

y= sqrt(3x+4)

Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the derivative of that and got 1/2(3x+4)^(-1/2), then took the 2nd derivative of that and got -1/4(3x+4)^(-1.5). Apparently this isn't right. What am I doing wrong?

y=(3x+4)^(1/2)

y'=(3/2)(3x+4)^(-1/2)

y"=(-9/4)(3x+4)^(-3/2)

i think this is correct. You forgot the chain rule. You also have to multiply by the derivative of 3x+4

THANK U!!

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