Question

find the points on the curve y=4x^3 -6x^2- 24x +30 where the tangent is parallel to the x axis. please show all steps!

Answer 1

right...so when it asks for the points where the tangent is parrel to the x-axis...its basically asking you for the points where the gradient of the tangent is 0 or the maz or min points

so diffrecnciate the eq to get

12x^2 - 12x -24 = 0

then solve the equation quadratically to get two solutions

--->2 and -1

Answer 2

max*

Answer 3

is that the full answer?