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pip_beard
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Homework Statement
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.
Homework Equations
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>??