If i have the following regression output r squared 7547 f

Question

If I have the following regression output:

R squared= .7547 F ratio = 92.31 Pvalue on F 0.0001

Dependent variable Q

Variable Parameter Est Std Error t-ratio p-value

L³ -0.0016 0.0005 -3.20 0.0032

L² 0.4000 0.0950 4.21 0.0002

Can you show me the algebra steps to find the slope of MP curve is found by -0.0096L+0.8; MP is maximized at an output level Q=83.33?

Is it because AP= -0.0016L²+0.4000L? So the math would be for the slope of the MP curve algebraically would be:

MP= 3cL²+2bL or MP= (2*3)*-0.0016L+(2*1)*0.4000 >>>>>> MP= (6*-0.0016)L+(2*0.4000) >>>>>>> MP= -0.0096L+0.8000