Max & Min Problems (Leaving Cert Mathematics): Flashcards

Derive, set to 0, solve

Set derivative equal to zero

$P'(x) = -2x + 10$

5 cakes

25 euros

$2l + 2w = 100$

$w = 50 - l$

$A = 50l - l^2$

$A' = 50 - 2l$

$l = 25$m, $w = 25$m

$\pi r^2 h = 1000$

$h = \frac{1000}{\pi r^2}$

$C(r) = 2\pi r^2 + \frac{2000}{r}$

Local minimum