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Chapter 2: Q 44. (page 222)
Find the derivatives of each of functions in Exercises 17–44. In some cases it may be convenient to do some preliminary algebra.
The required answer is.
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Find the derivative of the absolute value function and piecewise defined function
Suppose f is ant cubic polynomial function prove that coefficients of f a, b, c, d can be expressed in terms of values of f(x) and its derivatives at the point x=2
Use the definition of the derivative to find for each function in Exercises 34-59
Think about what you did today and how far north you were from your house or dorm throughout the day. Sketch a graph that represents your distance north from your house or dorm over the course of the day, and explain how the graph reflects what you did today. Then sketch a graph of your velocity.
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
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