Find the maximum and minimum points on the graph of

x^2 + 4y^2 - 2x - 16y + 13 = 0

(a) Without using calculus

(b) Using Calculus

(although I'm okay if you just show me (b) using calculus..... please show how you got your answer

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- Nov 12th 2012, 10:02 PMasilvester635Find the maximum and minimum points on the graph
Find the maximum and minimum points on the graph of

x^2 + 4y^2 - 2x - 16y + 13 = 0

(a) Without using calculus

(b) Using Calculus

(although I'm okay if you just show me (b) using calculus..... please show how you got your answer - Nov 12th 2012, 10:09 PMchiroRe: Find the maximum and minimum points on the graph
Hey asilvester635.

For calculus, you differentiate once and twice and solve for dy/dx = 0 and then check the sign of d^2y/dx^2 to see if its positive or negative.

Can you calculate the two derivatives (1st and 2nd) and solve for dy/dx = 0 and for those particular values of x (or (x,y) pairs), show what d^2y/dx^2 is for those values? - Nov 12th 2012, 10:45 PMMarkFLRe: Find the maximum and minimum points on the graph
For part a), complete the square and write the ellipse in standard form.