For

f(x)=2x^(3)-3x^(2)+5

do the followings (Total 2.1 marks)\ a. Sketch

f(x)

and identify

mi(n)/(m)ax

points - you may use Desmos (0.25 marks)\ b. Compute marks)\ c. Find

mi(n)/(m)ax

by solving for and

x2

) for

f^(')(x)=0

and compare with (a) ( 0.25 marks)\ d. Check sign of

f^(')(x)

on either side of

x1

and

x2

using the following tables and identify\ min/max points (0.25 marks)\ e. Compute marks)\ f. Determine sign of

f^('')(x)

at

x1

and

x2

and reconfirm min/max points (0.25 marks)\ g. Find

x

value

(x3)

which makes

f_(x)^('')_()=0

( 0.25 marks)\ h. Check sign of

f^('')(x)

on either side of

x3

using the following table to identify inflection\ point (0.20 marks)

1. For f(x)=2x33x2+5 do the followings (Total 2.1 marks) a. Sketch f(x) and identify min/max points - you may use Desmos ( 0.25 marks) b. Compute f(x)(0.25 marks) c. Find min/max by solving for x(x1 and x2 ) for f(x)=0 and compare with (a) ( 0.25 marks) d. Check sign of f(x) on either side of x1 and x2 using the following tables and identify min/max points ( 0.25 marks) e. Compute f(x)(0.25 marks) f. Determine sign of f(x) at x1 and x2 and reconfirm min/max points (0.25 marks) g. Find x value (x3) which makes f(x)=0 ( 0.25 marks) h. Check sign of f(x) on either side of x3 using the following table to identify inflection point (0.20 marks)