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Section 3.5a

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Evaluate the limits: Graphically Graphin What happens when you trace close to x = 0? Tabular Support Use TblStart = 0, Tbl = 0.01 What does y approach when x approaches 0?

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Derivative of Sine The definition of derivative:

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Derivative of Cosine The definition of derivative:

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Derivatives of Sine and Cosine Side note: Why do we always use radian measure for angles in calculus??? Because our initial limits would not equal one and zero!!! And therefore we would not be able to find the derivatives of the basic trigonometric functions… Let’s look at these graphically…

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Practice Problems Find the first and second derivative of each of the following. 1. 2.

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Practice Problems Find the derivative of each of the following. 3. The Product Rule:

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Practice Problems Find the derivative of each of the following. 4. The Quotient Rule:

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Practice Problems Find the derivative of each of the following. 5.

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Practice Problems Find the equation of the line tangent to the graph of at. The point: The slope: The tangent line: Graphical Support?

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Practice Problems Find the equation of the line tangent to the graph of at. The point: The slope: The tangent line: Graphical Support?

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The Derivative. Definition Example (1) Find the derivative of f(x) = 4 at any point x.

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