
Local Extrema
Started doing local extrema which concepts I understand. I am struggling with two problems which I was hoping to get some help on. The problem states to find the critical points and local min and max. I know to take first and second derivative to find the values but thats where i am messing up. Thanks for the help.
9) h(y)= y^{2  }1/y
15) f(x)= pi  (x2)^{2/3}

Re: Local Extrema
9) h(y)= y^{2}  1/y
Remember 1/y= y^{1}
The derivative of 1/y is therefore 1y^{2}
The derivative of y^{2} is 2y
You can then solve 2y  (1y^{2})= 0 for y
15) f(x)= pi  (x2)2/3
Since pi is a constant the derivative of pi is 0
The derivative of (x2)^{2/3} is (2/3)(x2)^{1/3}
So you can solve (2/3)(x2)^{1/3}= 0 for x