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Section 4.4 The Chain Rule No ln x 3.3

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Easiest explained using examples

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Find f ‘ (x) if

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NO CALCULATOR

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OPTION A OPTION B

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NO CALCULATOR

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What is the instantaneous rate of change at x = 0 of the function f given by

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NO CALCULATOR The y-intercept of the tangent line to the curve

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NO CALCULATOR

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CALCULATOR REQUIRED The slope of the curve at its point of inflection is

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NO CALCULATOR

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CALCULATOR REQUIRED Let the function f be differentiable on the interval [0, 2.5] and Use the table to estimate g ‘ (1) if

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CALCULATOR REQUIRED The position of a particle moving on the x-axis, starting at t = 0, is given by Which of the following statements is true? I.The particle is at a positive position on the x-axis at time t = (a + b)/2 II.The particle is at rest at time t = a III.The particle is moving to the right at time t = b. A) I only B) II only C) III only D) I and II only E) II and III only NO YES

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Find the numerical value of the expression. sinh ( ln 4 )

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