Posted by Zel on .
Find all critical numbers:
y = 2x*sqrt(3x^2+4) ?
critical number are
x and y intercepts, max/min points and points of inflection
for x-intercept, let y = 0
for y-intercept , let x = 0
for max/min , take first derivative, set equal to zero and solve for x. Sub back into original to get the matching y
for pts. of inflection, set second derivative to zero and solve for x
sub back into original to get the y
use product rule to find first derivative.