mat251_093_exam2_guide

mat251_093_exam2_guide - • Be familiar with the various...

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mat 251 – calculus for life sciences fall 2009 mat 251 / exam two / study guide This list is not necessarily exhaustive. Any topic covered in lecture or homework is fair game for the test. Compare and contrast: Secant vs. tangent, average rate of change vs. instantaneous rate of change, increasing vs. decreasing, and concave up vs. concave down. Solve problems involving trig functions. Determine the average rate of change between two points. Find the instantaneous rate of change at a point. Produce a graph of a function given information about its derivative and vice versa. Discuss what must be true for a limit to exist. Calculate the equation of a tangent line at a given point. Properly apply the power rule, product rule, quotient rule, and chain rule. Find the derivative of constants, linear functions, and the sum/difference of two functions. Use multiple rules in finding the derivative of a single function.
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Unformatted text preview: • Be familiar with the various notations associated with the derivative. • Interpret the meaning of the derivative, including providing units and discussing its practical significance in a real-life context. • Find a velocity function by differentiating a distance function. • Find an acceleration function by differentiating a velocity function. • Discuss the concept of local linearity. • Evaluate a composition of functions. practice problems Section Assigned Practice 1.4 60, 62, 69 4, 12, 52, 54, 64 1.5 50, 54-56, 60, 70 58 2.1 35-45 2-8e, 14, 18, 20 2.2 24, 30, 34, 36 14, 16, 20, 26 2.3 14, 18, 21d, 25, 27, 30 12, 13 2.4 17, 18, 26, 36, 38 32, 33, 48 2.5 22, 26, 44, 50 4, 8, 10, 14-16, 30, 34, 39, 40, 42 2.6 2, 8, 14-18e, 21 4, 6, 20 2.7 96, 105, 108, 112 4, 8, 26, 32, 34, 92 2.8 52, 54, 66, 72 2, 8-12e, 18, 22, 34...
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This note was uploaded on 10/19/2009 for the course MAT 83075 taught by Professor Turner during the Spring '09 term at ASU.

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