When you say "this function" I assume you mean the derivative function, y = .0000543x-.04934171. The slope of a line whose equation is y = mx + b is m, so the slope of your line of best fit is .0000543. The y-intercept of this line is -.04934171.Cmertin said:Homework Statement
Slope of: y=.00002715x^2-.04934171x+44.18240907
Homework Equations
d/dx
The Attempt at a Solution
d/dx[.00002715x^2-.04934171x+44.18240907] = .0000543x-.04934171
This is the derivative (slope) of the function though it's looking for a numerical value. It is based off of data that was given. This function is the line of best fit of the data and I need to find the slope of the graph. If you could help me that would be great.
The slope of a polynomial function is the measure of its steepness or angle at any given point on the graph. It represents the rate of change of the function at that point.
The slope of a polynomial function can be calculated by finding the derivative of the function. This can be done using the power rule, product rule, or quotient rule depending on the complexity of the function.
The slope of a polynomial function can tell us the direction and rate of change of the function at any point on the graph. A positive slope indicates an increasing function, while a negative slope indicates a decreasing function.
Yes, the slope of a polynomial function can be negative. This means that the function is decreasing at that point and the graph is sloping downwards from left to right.
The degree of a polynomial can affect its slope by determining the number of turning points or critical points on the graph. A higher degree polynomial may have more turning points and a more complex slope compared to a lower degree polynomial.