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# 5.1 - MATH1081 Wednesday,February23 Chapter5Section1...

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MATH 1081 Wednesday, February 23 Chapter 5 – Section 1 INCREASING AND DECREASING FUNCTIONS Homework #6 (due 2/28): Section 4.4 #32, 38, 58 Section 4.5 #42, 58 Section 5.1 #26, 48, 52 Clicker Check-in : Choose any letter to check in now.

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1. The Generalized Power Rule d dx f ( x ) ( ) n [ ] = n f ( x ) ( ) n 1 f '( x ) 2. The Generalized Exponential Function Rule (base e ) d dx e f ( x ) [ ] = e f ( x ) f '( x ) 3. The Generalized Logarithmic Function Rule (base e ) d dx ln f ( x ) ( ) [ ] = 1 f ( x ) f '( x )
Now that we have seen all the differentiation rules relevant to the functions we will see, we will return to analyzing functions using the derivative. As we have discussed many times, the derivative function is a “slope” function, where the input is the x in the domain of a function f and the output is the slope of that curve f at x . In particular, by finding the derivative of certain functions, we have been able to discuss the velocity of a falling object, the marginal cost, revenue, and profit, and other general rates of change.

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5.1 - MATH1081 Wednesday,February23 Chapter5Section1...

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