Chapter 2: Q 11. (page 237)
Translate expressions written in Leibniz notation to 鈥減rime鈥 notation, and vice versa.
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Chapter 2: Q 11. (page 237)
Translate expressions written in Leibniz notation to 鈥減rime鈥 notation, and vice versa.
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Find the derivatives of the functions in Exercises 21鈥46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
In Exercises 69鈥80, determine whether or not f is continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
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鈥檚 method to approximate that root.
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23鈥38.
25.
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