Question
f(x)=x^3-6x+1
find the critical points, where the function is increasing or decreasing and explain the shape of the graph using the derivative and algebra.
i found the derivative to be 3x^2-6. So the critical points are -1.4 and 1.4. The derivative is decreasing until (0,6) and then it begins increasing. i don't know how to go about explaining the shape of the graph with algebra though. is it related to quadratic equations???
find the critical points, where the function is increasing or decreasing and explain the shape of the graph using the derivative and algebra.
i found the derivative to be 3x^2-6. So the critical points are -1.4 and 1.4. The derivative is decreasing until (0,6) and then it begins increasing. i don't know how to go about explaining the shape of the graph with algebra though. is it related to quadratic equations???