(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A curve is defined for x<-2 by the equation y=((x^2)+3)sqr(x+2)

a) Show that dy/dx=0 when x=-1 and find the x-coordinate of the other stationary point.

b) Find the value of d^2y/dx^2 when x=-1 hence determine whether the turning point is max or min.

2. Relevant equations

3. The attempt at a solution

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

Differentiate by product rule : u=x^2 +3 v=(x+2)^1/2

u'=2x v'=1/2((x+2)^1/2)

dy/dx= (x^2+3).0.5(x+2)^(-0.5) + (x+2)^0.5 . 2x

Where do i go from here>??

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# Homework Help: Curve with stationary points

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