Exam 3: Section 4 : Differentiation

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Find the derivative of the function. Find the derivative of the function.

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The displacement from equilibrium of an object in harmonic motion on the end of a spring is The displacement from equilibrium of an object in harmonic motion on the end of a spring is   where y is measured in feet and t is the time in seconds. Determine the velocity of the object when   . Round your answer to two decimal places. where y is measured in feet and t is the time in seconds. Determine the velocity of the object when The displacement from equilibrium of an object in harmonic motion on the end of a spring is   where y is measured in feet and t is the time in seconds. Determine the velocity of the object when   . Round your answer to two decimal places. . Round your answer to two decimal places.

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Evaluate the derivative of the function at the given point. Evaluate the derivative of the function at the given point.   ,  , Evaluate the derivative of the function at the given point.   ,

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Find the second derivative of the function. Find the second derivative of the function.

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Find the derivative of the function Find the derivative of the function   . .

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Find Find   if   . if Find   if   . .

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Find an equation to the tangent line for the graph of f at the given point. Find an equation to the tangent line for the graph of f at the given point.   ,  , Find an equation to the tangent line for the graph of f at the given point.   ,

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Differentiate the function Differentiate the function     . Differentiate the function     . .

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Find Find   if   . if Find   if   . .

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Differentiate the function Differentiate the function   . .

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Differentiate the function Differentiate the function   . .

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Find the derivative of the function Find the derivative of the function   . .

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Find the derivative of the function. Find the derivative of the function.

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Evaluate the derivative of the function Evaluate the derivative of the function   at the point   . at the point Evaluate the derivative of the function   at the point   . .

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Evaluate the derivative of the function Evaluate the derivative of the function   at the point   . at the point Evaluate the derivative of the function   at the point   . .

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The displacement from equilibrium of an object in harmonic motion on the end of a spring is The displacement from equilibrium of an object in harmonic motion on the end of a spring is   where y is measured in feet and t is the time in seconds. Determine the position of the object when   . Round your answer to two decimal places. where y is measured in feet and t is the time in seconds. Determine the position of the object when The displacement from equilibrium of an object in harmonic motion on the end of a spring is   where y is measured in feet and t is the time in seconds. Determine the position of the object when   . Round your answer to two decimal places. . Round your answer to two decimal places.

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Find the derivative of the function. Find the derivative of the function.

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Find the derivative of the function Find the derivative of the function   . .

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Find Find   if   . if Find   if   . .

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Find the derivative of the function. Find the derivative of the function.

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