Chapter 2: Q. 72 (page 198)
Find the derivative of the absolute value function and piecewise defined function
Short Answer
The derivative of the piecewise function is
Chapter 2: Q. 72 (page 198)
Find the derivative of the absolute value function and piecewise defined function
The derivative of the piecewise function is
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Get started for freeA bowling ball dropped from a height of feet will be feet from the ground after seconds. Use a sequence of average velocities to estimate the instantaneous velocities described below:
When the bowling ball is first dropped, with
Use the definition of the derivative to find for each function in Exercises 34-59
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A tomato plant given ounces of fertilizer will successfully bear pounds of tomatoes in a growing season.
(a) In real-world terms, what does represent and what are its units? What does represent and what are its units?
(b) A study has shown that this fertilizer encourages tomato production when less than ounces are used, but inhibits production when more than ounces are used. When is positive and when is negative? When is positive and when is negative?
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line that passes through the point and is parallel to 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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