Chapter 2: Q.37 (page 198)
Use the differentiation rules developed in this section to find
the derivatives of the functions
Short Answer
The derivative of the given function is
Chapter 2: Q.37 (page 198)
Use the differentiation rules developed in this section to find
the derivatives of the functions
The derivative of the given function is
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Get started for freeFind the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
Instead of choosing small values of h, we could have chosen values of z close to c. What limit involving z instead of h is equivalent to the one involving h?
Use the definition of the derivative to find for each function in Exercises 34-59
Velocity is the derivative of position . It is also true that acceleration (the rate of change of velocity) is the derivative of velocity. If a race car’s position in miles t hours after the start of a race is given by the function , what are the units of ? What are the units and real-world interpretation of ? What are the units and real-world interpretations of ?
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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