Chapter 2: Q 35 (page 238)
Find a function that has the given derivative and value f(c).
Short Answer
The anti derivative is
Chapter 2: Q 35 (page 238)
Find a function that has the given derivative and value f(c).
The anti derivative is
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Get started for freeUse (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23–38.
26.
Use the definition of the derivative to prove the following special case of the product rule
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 Newton’s method to approximate that root.
localid="1648297471865"
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 derivative of the absolute value function and piecewise defined function
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