Final answer:
To find the point where the tangent is parallel to the x-axis, set the derivative equal to zero and solve for x.
Step-by-step explanation:
The point where the tangent is parallel to the x-axis can be found by setting the derivative equal to zero and solving for x. This is because the slope of the tangent line is equal to the derivative of the function. When the tangent line is parallel to the x-axis, its slope is zero. So by setting the derivative equal to zero and solving for x, we can find the x-coordinate of the point where the tangent is parallel to the x-axis.
For example, if we have a function f(x) and we find that the derivative f'(x) = 0 at x = 2, then the point (2, f(2)) is where the tangent line is parallel to the x-axis.