HW_2_8

# HW_2_8 - G t =(b Select the domain of the function-4 4-4...

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Student Name: Sections 2.8 (Due: Thursday, 09/20) Description : This homework will help you understand the concept of a differentiable function interpreted graphically, algebraically, and descriptively. You should know how a function can fail to be differentiable and how to sketch the derivative function given a graph of the original function. Show all work to get full credit. 1) The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. I II III IV (a) (b) (c) (d) 2) The graph of a function f is given. Select the graph of f '.

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Student Name: 3) The graph of a function f is given. Select the graph of f '.
Student Name: 4) You are given the following function. (a) Find the derivative of the function using the definition of derivative.

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Unformatted text preview: G '( t ) = (b) Select the domain of the function. (-4, 4) [-4, 4] (-, -4) (-4, ) (-, -4] [4, ) (c) Select the domain of its derivative. (-, -4) (-4, ) (-4, 4) (-, -4] [4, ) [-4, 4] 5) If f ( t ) = 3 t 2- √ t , find f '( t ). Student Name: 6) The graph of f is given. State the numbers at which f is not differentiable. (Give your answers in increasing order.) 7) The graph of f is given. State the numbers at which f is not differentiable. (Give your answers in increasing order.) 8) The figure shows the graphs of three functions. One is the position function of a car, one is the velocity of the car, and one is its acceleration. Identify each curve. 9) Use the definition of the derivative to find f '( x ) and f ''( x ). f '( x ) = f ''( x ) =...
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HW_2_8 - G t =(b Select the domain of the function-4 4-4...

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