1 ACEs are commonâ¦nearly two-thirds (64%) of adults have at least one. 2  They cause adult onset of chronic disease, such as cancer and heart disease, as well as mental illness, violence and being a victim of violence.  ACEs donât occur aloneâ¦.if you have one, thereâs an 87% chance that you have two or more.
A horizontal tangent line is a mathematical feature on a graph, located where a function's derivative is zero. This is because, by definition, the derivative gives the slope of the tangent line. Horizontal lines have a slope of zero. Therefore, when the derivative is zero, the tangent line is horizontal. To find horizontal tangent lines, use the derivative of the function to locate the zeros and plug them back into the original equation. Horizontal tangent lines are important in calculus because they indicate local maximum or minimum points in the original function.
You get this by plugging the given x-value into the original equation to find the corresponding y-value. Since you want the tangent line at x = 4, plug x = 4 into the original f(x), and you get a y-value of 7. This means that the full point is (4,7).