Chapter 2: Q. 85 (page 199)
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
Short Answer
We prove the power rule holds for positive integers powers using the definition of derivative
Chapter 2: Q. 85 (page 199)
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
We prove the power rule holds for positive integers powers using the definition of derivative
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Get started for freeFind a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra
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.
If Katie walked at miles per hour for minutes and then sprinted at miles an hour for minutes, how fast would Dave have to walk or run to go the same distance as Katie did at the same time while moving at a constant speed? Sketch a graph of Katie’s position over time and a graph of Dave’s position over time on the same set of axes.
Use the differentiation rules developed in this section to find
the derivatives of the functions
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