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Unformatted text preview: f ( x ) = − 3 x − 2 at any point ( x, f ( x )). NOTE: Lecture 10 8 The Derivative of a Function Given a function y = f ( x ). The derivative of y with respect to x is the function f ′ deFned by: f ′ ( x ) = The domain of f ′ ( x ): ex. If f ( x ) = 1 x + 1 , then f ′ ( x ) = What is the domain of f ′ ? Lecture 10 9 Notation for the Derivative Given y = f ( x ), we write Lecture 10 10 1) Find f ′ ( x ) for f ( x ) = √ x − 2. Lecture 10 11 2) Write the equation of the tangent line to f ( x ) = √ x − 2 at x = 6. Lecture 10 12 (Master it question:) Find the xvalues of all points at which the tangent line to f ( x ) = 1 x + 1 is parallel to x +9 y − 6 = 0. Write the equation of one of those lines....
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 Spring '08
 Smith
 Calculus, Derivative, Slope

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