First and second derivative rule
[DOC File]Section 3 - Tredyffrin/Easttown School District
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The derivative of the product of two functions is equal to the first times the derivative of the second plus the second times the derivative of the first. Keep in mind that . Example 7: Find for . Solution: There are two methods to solve this problem. One is to multiply the product and then use the derivative of the sum rule.
[DOC File]COMPUTER PROBLEM-SOLVING IN
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For each of the following tables of values coming from a sensor, would it be best to use the values, the first derivative, or the second derivative to threshold noise? Explain. Apply the method you chose and identify the threshold rule (i.e. If x > y or x < y then noise) i. ii. Sensor. values First. Deriv. Second. Deriv. 100 >2 >2 >1 >2 >1 >7 ...
[DOC File]Derivatives - UH
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If the derivative is −0.3, that’s a small negative change. If it’s −57, that’s a good sized negative change. In both of these cases, the graph is decreasing. Popper 09, Question 2 Shortcuts to getting the derivative: First let’s do it the LONG way. Then we’ll look at pictures and a shortcut. Given Find its derivative.
[DOC File]Extrema and the Mean Value Theorem
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For each function, use the First and Second Derivative Tests to find the intervals where the function is increasing/decreasing/concave up/concave down, all extrema, and all points of inflection. Then, use that information to sketch the graph, labeling the important points.
[DOC File]AP CALCULUS AB
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Either way, the Product Rule is basically saying the following: The derivative of the product of two functions is the derivative of the first function times the second function plus the derivative of the second function times the first function. Shall we try an example? ____ _____ Example 1 . If , find . Is this a candidate for the Product Rule ...
[DOC File]GRAPHING OF FUNCTIONS USING FIRST AND SECOND …
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3. If the second derivative f'' is positive (+) , then the function f is concave up . 4. If the second derivative f'' is negative (-) , then the function f is concave down . 5. The point x=a determines a relative maximum for function f if f is continuous at x=a , and the first derivative f' is positive (+) for xa .
[DOCX File]VOCABULARY: derivative, first derivative, second ...
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Apr 13, 2001 · VOCABULARY: derivative, first derivative, second derivative, product rule, quotient rule, chain rule, implicit differentiation, logarithmic differentiation ...
[DOC File]AP Calculus Assignments: Derivative Techniques
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7 The Chain Rule HW Derivative Techniques - 7 . 8 The Chain Rule HW Derivative Techniques - 8 ... (0.5 (1.5 (1 (2 5. Suppose f and g are differentiable functions. Selected values of f and g and their first derivatives f ' and g' are shown in the table. Evaluate the following: a. b. ... Because it was the second time he had made the same really ...
[DOC File]New Chapter 3
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In physics, the second derivative can be interpreted as acceleration. Recall that if is the position function of an object that moves in a straight line, then the instantaneous rate of change of the position of the object is called the velocity of the object at time t: ... We can use the chain rule or quotient rule to find the first derivative ...
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