Chapter 2: Q. 22 (page 210)
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.
Short Answer
The required answer is
Chapter 2: Q. 22 (page 210)
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.
The required answer is
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Get started for freeWrite down a rule for differentiating a composition of four functions
(a) in “prime” notation and
(b) in Leibniz notation.
Use the definition of the derivative to find for each function in Exercises 39-54.
For each function graphed in Exercises 65-68, determine the values of at which fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.
Use the definition of the derivative to prove the following special case of the product rule
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 ?
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