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.
In the function, f(x) = 2x^2 + 4x + 10, if you were asked to find the equation of the tangent line at x = 5, you would start with the slope, m, which is equal to the value of the derivative at x = 5: f'(5) = 4(5 + 1) = 24.Get the equation of the tangent line at a particular point using the point-slope method.You can substitute the given value of x in the original equation to get y; this is point (a0, a1) for the point-slope equation, y-a0 = m(x-a1). In the example, f(5) = 2(5)^2 + 4(5) + 10 = 50 + 20 + 10 = 80.n the function, f(x) = 2x^2 + 4x + 10, if you were asked to find the equation of the tangent line at x = 5, you would start with the slope, m, which is equal to the value of the derivative at x = 5: f'(5) = 4(5 + 1) = 24.