Question

Use the derivative of the function y - f(x) to find the points at which f has a

a) local max
b) local min
c) point of inflection

Answer 1

y'= (x-1)^2 (x-2)

Answer 2

equate the derivative to 0 to find any max or min
equate the second derivative to 0 to find any poi

Answer 3

ohhh ok thanks!@

Answer 4

so it's (x-1)^2 (x-2) = 0

x = 2, 0 and does (x-1)^2 has an x value?

Answer 5

of course it does

Answer 6

oh so it's -1 and 1 also?

Answer 7

(x-1)^2 = 0

solve for x

Answer 8

(x-1)(x-1)(x-2) = 0 correct? to find max and mins?

Answer 9

since (x-1)^2 is the same as (x-1) (x-1)

Answer 10

^ no

(x^2 -1) = (x-1)(x+1)

Answer 11

how is it x^2 - 1? if the squared is outside the parenthesis?? it's not (x^2-1) because it says (x-1)^2? isn't that different? :0

Answer 12

what i'm saying is (x-1)^2 =/= (x-1)(x+1)

Answer 13

does not equal?