Question

At which point on the curve y=2x^3- 9x^2 -60x +3 are the tangent horizontal ? What formula shuld i use

Answer 1

are you familiar with derivatives?

Answer 2

Yes but i dunno how to solve this if i differentiate it how do i know if its horizontal or not

Answer 3

if it's horizontal then the slope is 0

Answer 4

How do i find slope i dont have the points

Answer 5

hmm i suppose you find the slope of this line then equate it to 0

Answer 6

then solve for x

Answer 7

Can u show me how to find slope plz if u dont mind

Answer 8

dont you just take the derivative?

Answer 9

take the first derivative of this function

Answer 10

That is 6x^2 -18x-60

Answer 11

right now equate it to zero

Answer 12

Thank u