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 freeUse the definition of the derivative to find for each function in Exercises
For each function and interval in Exercises , use the Intermediate Value Theorem to argue that the function must have at least one real root on . Then apply Newton’s method to approximate that root.
localid="1648369345806" .
Use the definition of the derivative to find for each function f in Exercises 39-54
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.
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.
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