- #1
meredith
- 16
- 0
Homework Statement
i can't solve it!
im really lost. i know you find f''(x) (i got 9e^3x +12) but i don't know where to go from there
what would i do on my calculator?
The x-coordinate of the point where the function f(x) has a horizontal tangent is approximately -0.328.
To determine if a function has a horizontal tangent at a certain point, you can take the first derivative of the function and set it equal to 0. If the resulting equation has a solution for the x-coordinate of the point, then the function has a horizontal tangent at that point.
When a function has a horizontal tangent at a certain point, it means that the slope of the tangent line at that point is equal to 0. This indicates that the function is neither increasing nor decreasing at that point, and the graph of the function has a flat spot at that point.
Yes, a function can have more than one horizontal tangent. This occurs when the first derivative of the function has multiple solutions for the x-coordinate of the points where the function has a horizontal tangent.
To determine the x-coordinate of the point where a function has a horizontal tangent, you can look for the point on the graph where the slope of the tangent line is equal to 0. This will be the point where the function has a horizontal tangent.