Chapter 2: Q. 88 (page 235)
Use implicit differentiation and the fact that for all in the domain of to prove that . You will have to consider the casesand separately.
Short Answer
We proved usingimplicit differentiation.
Chapter 2: Q. 88 (page 235)
Use implicit differentiation and the fact that for all in the domain of to prove that . You will have to consider the casesand separately.
We proved usingimplicit differentiation.
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Get started for freeUse the definition of the derivative to find for each function in Exercises 34-59
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.
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.
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 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.
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