Question: Identify the Formula: Complete the table below, gathering rules for differentiation various types of functions. Rule Name Constant Rule Power Rule Constant Time a

types of functions. Rule Name Constant Rule Power Rule Constant Time a

Identify the Formula: Complete the table below, gathering rules for differentiation various types of functions. Rule Name Constant Rule Power Rule Constant Time a Function Rule Sum and Difference Rules MARGINAL ANALYSIS Function f(x) = k f(x) = x" f(x) = k g(x) f(x) = u(x) v(x) Derivative Business Connections: Give the interpretation of the derivative of a cost function as marginal cost. Mathematical Connections: In a previous section on Applications of Linear Functions, it was stated that, for a linear cost function C(x)= mx + b, the marginal cost is the slope m. Does this agree with our new definition of marginal cost using derivatives? Justify your answer.

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