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Can a gradient of a line be 0?
Theoretically, yes. For lines parallel to y-axis, gradient is zero. Eg, x=4.
Is it always true that for any polynomial px if x is a zero of the derivative then x px is a maximum or minimum value of px?
No. The important decider is the second derivative of the polynomial (the gradient of the gradient of the polynomial) at the zero of the first derivative: If less than zero, then the point is a maximum If more than zero, then the point in a minimum If equal to zero, then the point is a point of inflection. Consider the polynomial f(x) = x3, then f'(x) = 3x2 f'(0) = 0 -> x = 0 could be a maximum, minimum or point of inflection. f''(x) = 6x f''(0) = 0 -> x = 0 is a point of inflection Points of inflection do not necessarily have a zero gradient, unlike maxima and minima which must. Points of inflection are the zeros of the second derivative of the polynomial.
What is a horizontal in math?
Here's a horizontal ------- Here are some verticals .... arranged horizontally
How do you use rise and run math?
Provided the run is not zero, rise/run gives the gradient, or slope, between two points.
What is the slope of a line that is parrel to the y- axis?
The slope (or gradient) if the line is parallel to the y-axis, is infinite. If it's parallel to the x-axis the slope is zero.
