Chapter 2: Q. 84 (page 235)
Use the quotient rule and the derivative of the cosine function to prove that
Short Answer
The derivative has been proved.
Chapter 2: Q. 84 (page 235)
Use the quotient rule and the derivative of the cosine function to prove that
The derivative has been proved.
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Get started for freeEach graph in Exercises 31โ34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
For each function f that follows find all the x-values in the domain of f for which and all the values for which does not exist in later section we will call these values the critical points of f
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Find 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
For each function and interval localid="1648297458718" in Exercises localid="1648297462718" , use the Intermediate Value Theorem to argue that the function must have at least one real root on localid="1648297466951" . Then apply Newtonโs method to approximate that root.
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Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
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