Show that the curve with equation has a minimum point A on the y-axis. Find the coordinates of A. Show further that the curve has another stationary value between x = 1.9 and x = 3. Sketch the curve.
I’ve done all except curve sketching. How can I sketch this curve? Actually what the process?
May be I need more information, because I’m so weak on this regard.
By the way, I simplified,
y = 3/2 (e^x + e^-x) – x/2 (e^x - e^-x)
= e^2x (3/2 – x/2) + 1/2 (3/2 + x/2)
What to do next? As I get a minimum point A is (0, 3). And another stationary point lies between 1.9 and 2. Have to working on this to find 2nd stationary point?
Do you have any suggestions/notes/useful websites to learn this kind of stuff, will help me lot to understand.