Slope of a polynomial function

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SUMMARY

The discussion centers on finding the slope of the polynomial function y = 0.00002715x² - 0.04934171x + 44.18240907. The derivative of this function, calculated using d/dx, is y' = 0.0000543x - 0.04934171. The slope of the line of best fit, represented by the coefficient of x in the derivative, is definitively 0.0000543. The y-intercept of the derivative is -0.04934171, providing additional context for the function's behavior.

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  • Ability to interpret derivatives in the context of graphing
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Cmertin
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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.

Regards,
Cmertin
 
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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.
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.
 

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