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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145 THE CHAIN RULE WORDS BY: JOHN A. CARTER TUNE: "CLEMENTINE" Here's a function in a function And your job here is to find The derivative of the whole thing With respect to x inside. Call the outside f of u And call the inside u of x. Differentiate to find df/du And multiply by du/dx. Use the chain rule. Use the chain rule whene'er you find The derivative of a function compositionally defined.

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Monday, February 25, 2013MAT 145

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Monday, February 25, 2013MAT 145

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Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine curve. 2.3 Derivatives of Trigonometric.

Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine curve. 2.3 Derivatives of Trigonometric.

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