For what values of x does the graph of f (x) have a horizontal tangent? (Round the answers to three decimal places.) f (x) = 4 x 3 + 9 x 2 + 4 x + 1
x1 = (smaller x-value)
x2 = (larger x-value)
how would i go about doing this problem
A horizontal tangent means that the slope of the tangent is , right ? So you would basically get the derivative of your function and go hunting for solutions of .
Your function is : (I assume, since it isn't clear in your message)
Therefore, your derivative would be (don't click if you want to find by yourself) :
Spoiler:
Therefore, you would be solving , which is easy since is a quadratic equation. All right ?