This is all correct. Your next step should be finding when the second derivative is equal to 0:I'm supposed to find the maximum slope of the curve
Now plug that back into the first derivative:
And find your answer!
I'm supposed to find the maximum slope of the curve
My question is, am I supposed to solve for x in as well or no? Supposing I'm not but do I plug the value I got from x back into the original equation to solve for y then that gives me the maximum slope of the curve?
Oh so its just solve for x in second derivative then plug that number in the first derivative and that gives me the maximum slope of the original? If so cool
Edit: When I plugged into the first derivative I got -.166. What does this tell me exactly. The maximum slope, or minimum?