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[DOC File]CALCULUS
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On problems 1 – 4, find the critical points of each function, and determine whether they are relative maximums or relative minimums by using the Second Derivative Test whenever possible. 1. 2.
derivative of ln 3x

[DOC File]Worksheet on Derivatives
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Let’s find the derivative function of f(x) = x2-x. What is f(x+h)? If I plug the value x=2 into 2x-1 I get 3. What does that 3 mean? Now that we have seen the general manner to calculate the derivative function for any given function let’s get a better feel for what is going on using our TI-Nspire.
derivative of ln 4x

[DOC File]Derivatives
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Take the derivative of f(x) and set it equal to zero: Note that there’s a common factor of twelve, divide it out: Use the Rational Root theorem and synthetic division to find that the factors of the derivative are. 12(x + 3)(x ( 2)(x + 1) So the turn around points are at x = (3, x = 2, and x = (1.
3 cos 2

[DOCX File]Mayfield High School
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is a function that has a derivative . f’(x) at each point . x . in the domain of . f. then the function . f’: x . f’(x) for all . x . in the domain of . f . is called the . derivative function of . f. time! Follow the steps below to investigate the derivative as a function. Open a new document and . …
find y' if xy yx

[DOC File]AP Calculus Assignments: Derivative Techniques
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Day. Topic. Assignment. 1 Basic Differentiation Formulas HW Derivative Techniques - 1 . 2 Product and quotient rules HW Derivative Techniques - 2. 3 Derivatives of exponential and log functions
xy y 2 3

[DOC File]Average Rate of Change vs - AP Calculus AB
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The function is not differentiable at x=0 and x=2. LESSON #5. Go over homework- worksheets 3.2 . Find the average rate of change of f(x) = x2+x . over the interval [1,3] 2 Use the limit definition to find the derivative. Write the equation of the tangent line at x = -2. F(x) = 2x2+x. Draw a function that for all x has a negative and ...
derivative of x2

[DOC File]New Chapter 3
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The first derivative is zero when x = -2 and x = 1. Hence, f(x) has two critical values: x = -2 and x = 1. Step 2. Evaluate f(x) at the critical values and at the endpoints a and b.-32)-4, 2]Both critical values lie in the interval (-4. 2), so we need to compare four values: ,,, and: x f(x) -4 -32 -2 20 1 -7 2 4 Step 3:
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[DOC File]DIFFERENTIAL CALCULUS
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a)(1/2, 1/2) b) (2,2) c) (-1/2, -1/2) d) none of these. 55. The slope of the tangent to the curve y = x2 – x at the point where the line y = 2 cuts the curve in the 1st quadrant is:
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[DOC File]DERIVATIVES
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The derivative of a function of x is another function of x. Up until this point, derivatives of functions were calculated at some arbitrary, but fixed, point a. Notice from the previous examples that the expressions obtained can be evaluated at different values of a.
derivative of ln 3x

Derivative of x 3 2