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Derivative Rules Derivatives = rates of change = marginal = tangent line slopes Constant Rule: Power Rule: Coefficient Rule: Sum/Difference Rule:

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Presentation on theme: "Derivative Rules Derivatives = rates of change = marginal = tangent line slopes Constant Rule: Power Rule: Coefficient Rule: Sum/Difference Rule:"— Presentation transcript:

1 Derivative Rules Derivatives = rates of change = marginal = tangent line slopes Constant Rule: Power Rule: Coefficient Rule: Sum/Difference Rule:

2 Example 1 Example 2

3 Example 3 x y 1 Find the tangent line at x = 2.

4 Example 4 Given the demand function based on price:
Find the rate of change of demand with respect to price and explain the value when If price demand is expected to

5 Example 5 Given the cost function based on level of production:
Find the rate of change of average cost and what level of production has a rate of change value of 0. Average cost is changing

6 Example 6 Given the cost function based on level of water impurity, p percent: Find the rate of change of cost when impurities account for 10% It would cost about

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