Derivative of x 1 3
[DOC File]Derivatives - UH
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If x = 1, then f (1) = 1 and the slope of the line tangent to this graph at x = 1 is 3. You evaluate the derivative at the x value to get this number, and it will change as x changes. In the “Big Picture”: For an itsy bitsy step off of 1 to the right, the y value will go up 3 times the size of that step. That is to say, the instantaneous ...
[DOC File]CALCULUS
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WORKSHEET ON DERIVATIVES. Work the following on notebook paper except for problems 11 – 12. Do not use your calculator. 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.
[DOC File]Derivatives
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Let x = 2, then 1 = - 3A, so A = - 1/3. So, Note: If the highest power of the term in the numerator is greater than or equal to the term in the denominator, you will likely need to perform a division, get a remainder, and express the fraction as a non-fraction plus a fractional denominator.
[DOCX File]§2.1 Derivatives and Rates of Change
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§2.1 Derivatives and Rates of Change. Tangent Lines. axes, curve C. Consider a smooth curve C. A line tangent to C at a point P both intersects C at P and has the same slope as C at P. add line . t . The Tangent Line Problem
[DOC File]Calculus I
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Without finding f-1, find the derivative of f-1 at the point where x = 6. 10.) Use Simpson's rule, with n = 12, to approximate the area under the curve y = from x = 0 to x = 1.
[DOC File]DERIVATIVES
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ex. Let , find f ′(a). Write an equation of the line tangent to y = f (x) when a = 1. At a = 1, the point on the curve, (a, f (a)) is (1, 3), and the slope of the tangent line is . The equation of the line is, in point-slope form, therefore. or, in slope-intercept form,. ex. Let , find f ′(a). The Derivative as a Function
[DOC File]The First and Second Derivative Tests
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If the second derivative test fails, then the first derivative test must be used to classify the point in question. Ex. f (x) = x2 has a local minimum at x = 0. Ex. f (x) = x4 has a local minimum at x = 0. But the second derivative test would fail for this function, because f ″(0) = 0. The first derivative test gives the correct result.
[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
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