Is this correct?
Find the values of x where the tangent line to the curve y = x^3 - 9x^2 + 24x - 10 is horizontal.

f'(x) = 3x^2 - 18x +24
f'(x) = 0
3x^2 - 18x + 24 = 0
3(x^2 - 6x + 8) = 0
3(x-2)(x-4) = 0
x=2 x=4

The values of x where the tangent line to curve are horizontal at x = 2 and x = 4.

Question

Is this correct?
Find the values of x where the tangent line to the curve y = x^3 - 9x^2 + 24x - 10 is horizontal.

f'(x) = 3x^2 - 18x +24
f'(x) = 0
3x^2 - 18x + 24 = 0
3(x^2 - 6x + 8) = 0
3(x-2)(x-4) = 0
x=2 x=4

The values of x where the tangent line to curve are horizontal at x = 2 and x = 4.

jim_thompson5910 · Answer

you nailed it, nice work

anonymous · Answer

Thanks so much will be posting more.