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Exam Two _Chapter 3_

# Exam Two _Chapter 3_ - Name Date Test Two Chapter 3(3.1 3.8...

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1 Name: Date: Test Two: Chapter 3 (3.1 – 3.8) Calculators Allowed Please show all work for complete credit. There is no partial credit for Multiple Choice responses. Good luck! Multiple Choice: (25 points) Circle the correct response. 1. For which of the following functions do you NOT have to use the Chain Rule to differentiate? A. ( ) 3 f x sin x = B. ( ) 2 g x 1 x = - C. ( ) 2 x h x e = D. ( ) r x cos2x = E. All of the above functions require the Chain Rule. 2. The derivative of ( ) 2 arcsin 4x is: A. 2 8x 16x 1 - B. 2 8x 4x 1 - C. 2 8x 1 4x - D. 4 8x 1 16x - E. None of the above is the correct derivative. 3. Find the equation of the tangent line to ( ) ( ) x g x x 1 e = - at x = 0: A. y 2x 1 = - - B. y 2x = - C. y 1 = - D. y x = - E. y x 1 = - -

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2 4. For the function pictured below, list the x – values where the function is NOT differentiable: A. x = 0, x = 1 and x = 3 B. x = 0 and x = 3 C. x = 1 only D. x = 1 and x = 3 E. x = 0 only 5. Which of the following gives the derivative of
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Exam Two _Chapter 3_ - Name Date Test Two Chapter 3(3.1 3.8...

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