Chapter 2: Q. 83 (page 235)
Use the definition of the derivative, a trigonometric identity, and known trigonometric limits to prove that
Short Answer
The trigonometric limit has been proved.
Chapter 2: Q. 83 (page 235)
Use the definition of the derivative, a trigonometric identity, and known trigonometric limits to prove that
The trigonometric limit has been proved.
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Get started for freeuse the definition of the derivative to prove the quotient rule
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23–38.
23.
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 ?
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
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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