Posted by yaya on .
Given a function
f(x)2/3x^3+5/2x^23x.
a) Find
i. The inflection point.
ii. The yintercept and xintercept.
b) Sketch the graph of f(x).
i have already try it..but i don't understand.. which graph that is true.. the first or second ? and how to calculate the x,y intercept,and inflection point? i hope you can help me to solve this ..

calculus ..>steve 
Steve,
y = 2/3 x^3 + 5/2 x^2  3x
y' = 2x^2 + 5x  3
y'' = 4x + 5
inflection where y''=0  at x=5/4
intercepts at (0,0)
and at x = 3/8 (5±√57)
Looks like you need to review the meanings of 1st and second derivatives. 
calculus ..>steve 
Elsi,
remember that the first derivative gives you the max's and min's and the second derivative tells you concavity and inflection points