Chapter 2: Q. 65 (page 210)
In Exercises 63鈥68, 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 while thinking about the
chain rule.
Short Answer
The function is
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Chapter 2: Q. 65 (page 210)
In Exercises 63鈥68, 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 while thinking about the
chain rule.
The function is
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Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line that is perpendicular to the tangent line to at and also passes through the point
Sketch a graph of the associated slope function f' for each function f.

Write down a rule for differentiating a composition of four functions
(a) in 鈥減rime鈥 notation and
(b) in Leibniz notation.
On earth, A falling object has a downward acceleration of 32 feet per second per second due to gravity. Suppose an object falls from an initial height of ,With an initial velocity of feet per second, Use antiderivatives to show that the equations for the position and velocity of the object after t seconds are respectively and
Use the definition of the derivative to prove the following special case of the product rule
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