###### Document Summary

Not enough information given to complete this problem. Remember definition a derivative is the limit s h(or any change) goes to zero for the quotient function. Value of the derivative is given in part a, plug in your function and then your x-value to get the specific value. The derivative is the slope of all lines tangent to a curve, simply evaluate the derivative for the x- value you need to find the slope for. Then use slope/intercept or point slope form to get a tangent line equation. Simplify and evaluate limits at the point given. For part c, there seems to be some information missing. Make to pay attention to detail with composite or embedded functions. The linear demand equation has an input of demand and an output of unit price. The slope is change in price over change in demand. The cost equation is the fixed cost added to the variable cost.