Posted by Zel on Monday, October 25, 2010 at 1:24pm.
Find all critical numbers:
calculus - Reiny, Monday, October 25, 2010 at 3:13pm
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.
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