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
My work:
Now plug that back into the first derivative:
And find your answer!
I'm supposed to find the maximum slope of the curve
My work:
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?
Yes. Think about the definition of the derivative. It is the slope of the original curve. So when we are looking for the max of the slope of the curve, we are simply looking for the max of the derivative. We can use the same method to find this that we use to find the max and mins of a curve.