INTRODUCTORY DERIVATIVE RULES Identify the Formula: Complete the table below, gathering rules for differentiating various types of functions. Rule Name Derivative Formula d Constant Rule (k) = dx d Power Rule (x") = dx Special Case d of the Power Rule (x) = dx d Exponential Rule (bx)= dx Special Case d (ex) = of the Exponential Rule dx d Logarithm Rule dx (log(x)) = Special Case d of the Logarithm Rule (In(x)) = dx d Sum/Difference Rules (f(x) g(x)) = dx d Constant Multiple Rule dx ax (k f(x)) = MARGINAL ANALYSIS Business Connections: Complete the following statements connecting the derivative function to several business concepts. If C(x) is the cost of producing x items, then C' is... If R(x) is the revenue from selling x items, then R' is... * If P(x) is the profit from selling x items, then P' is...