MATH 1431 Chapter : 2 6 Derivative Fall 2012

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15 Mar 2019
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2. 6 the derivative lecture problems for class: definition of the slope of a tangent line. Finding the slope of a tangent line using the four-step process: writing the equation of a tangent line, definition of the derivative, f"(x). Finding the derivative of a function by use of the definition: real world application. The slope of the tangent line to the graph of f at the point p (x, f(x)) is given by: lim f(x+h) f(x) h 0 h if it exists. Using the four-step process, find the slope f the tangent line to the graph of the function f(x) = 11- 4x at any point: f(x+h, f(x+h) f(x, f(x+h) f(x) h. Using the four-step process, find the slope f the tangent line to the graph of the function f(x) = -7x2 +9x -3 at any point: f(x+h, f(x+h) f(x, 3. f(x+h) f(x) h. 4. lim f(x+h) f(x) h 0 h.

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