Chapter 2: Q. 56 (page 222)
Use logarithmic differentiation to find the derivatives of each of the functions in Exercises 49–58.
Short Answer
The derivative of function is
Chapter 2: Q. 56 (page 222)
Use logarithmic differentiation to find the derivatives of each of the functions in Exercises 49–58.
The derivative of function is
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Get started for freeUse the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
Use the definition of the derivative to find for each function in Exercises 34-59
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Last night Phil went jogging along Main Street. His distance from the post office t minutes after p.m. is shown in the preceding graph at the right.
(a) Give a narrative (that matches the graph) of what Phil did on his jog.
(b) Sketch a graph that represents Phil’s instantaneous velocity t minutes after p.m. Make sure you label the tick marks on the vertical axis as accurately as you can.
(c) When was Phil jogging the fastest? The slowest? When was he the farthest away from the post office? The closest to the post office?
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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