<@&791435371564892232> please can someone help me with this question
#differentiation
devout atlas
mellow saddle
what part
slow widget
So differentiate and solve the derivative and just plot it
devout atlas
i've got f'(x) but where do i sub x = 0 and y = 0 to find where the points meet the axis
slow widget
Well x=0 is y intercept which is just 9
And y=0 gives a solvable quadratic where the solutions are where it crosses x axis
mellow saddle
f'(x) = 3x^2 - 12x + 9
set equal to 0 and solve
(3x-3)(x-3) = 0
x = 1, x =3
y intercept is where x = 0 so its at (0,9)
devout atlas
i was confused on whether to sub x = 0 into f(x) or f'(x)
mellow saddle
your sketching f'(x) so sub it into that
devout atlas
ohh