Find the horizontal tangents of the curve:
The lesson is about shortcut rules for derivatives.
Rules such as:
Power rule-
Power Rule of positive integer- same
Power Rule of negative integers- same
Product rule- derivative of (uv) = derivative of u + derivative of v
Constant function rule - derivative of any integer is 0
Quotient rule- don't know how to LaTex or describe. Don't need for this though.
I simplified the function to
.
I know the goal of horizontal tangents is to get 0 = 0
Answers I got: x= 0
There should be more, as that is the pattern of other problems.
Is there any way to figure it out algebraically? I'm very bad at trial and error. I found nothing else.