November 2013
Intermediate to advanced
576 pages
22h 37m
English
book
Applied Calculus 5th Edition
by Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, David Lovelock, Douglas Quinney, Eric Connally, Guadalupe I. Lonzano, Karen R. Rhea, Selin Kalaycýoðlu, William G. McCallum, Adam H. Speigler, Brigitte Lahme, Brad G. Osgood
Content preview from Applied Calculus 5th Edition
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Chapter Three
SHORTCUTS TO DIFFERENTATION
Contents
3.1 Derivative Formulas for Powers and Polynomials
Derivative of a Constant Function
Derivative of a Linear Function
Derivative of a Constant Times a Function
Derivatives of Sums and Differences
3.2 Exponential and Logarithmic Functions
The Derivative of ax and the Number e
The Derivative of a Composition of Functions
The Chain Rule for Functions Given by Formulas
Relative Rates and Logarithms..
3.4 The Product and Quotient Rules.
3.5 Derivatives of Periodic Functions
Establishing the Derivative Formulas
3.1 DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS
The derivative of a function at a point represents a slope and a rate of change. In Chapter 2, we learned how to estimate values of the derivative of a function given by a graph or by ...
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