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[DOC File]Calculus Review
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To find the first order partial derivative of the following cubic function, , both the power-rule and sum rule must be applied. The sum rules states we can take the derivative of each component and sum them. The power rule indicates the exponent is placed as a constant and the exponent because the original exponent minus 1.
derivative to original function

[DOC File]Rule - Baruch College
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Original Function. f(x) Find any y-coordinate on the graph. Find any additional points for graphing. Average Rate of Change on the interval . Actual Change on the interval First Derivative. f'(x) Slope of the Tangent Line {Substitute any x-value into the first derivative} Instantaneous Rate of Change {Find the derivative and substitute the ...
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[DOC File]Definition of Derivative Worksheet
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Definition of Derivative Worksheet. Use the definition of a derivative to find the derivative of each function at the point indicated. 1. y = 2x2 – 5x – 4 at x = 5 2. y = at x = 3. Use our same limit of slopes definition to find the generalized derivative for the function. Remember that …
derivative graph to original function

[DOC File]Derivatives - UH
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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. Evaluate the original function to get the actual graph point y’s for each x. and f (2) will give you what you need to …
derivatives of functions

[DOC File]Integration
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Find it’s anti-derivative and it’s derivative. Popper 12, Question 3 Example 11: Given this anti-derivative, find the formula for the original function and find the area of between the graph of the original function from x = 3 to x = 5. First let’s get the original function: f(x)
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[DOC File]Central Bucks School District
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Take the derivative of the original function. Derivative : Using your graphing calculator, find the zeros of the derivative. x = b. x = Have you seen these x values before? If so where? Find the equation of the tangent line at the following x-value. (Hint: you will need a slope & a point) x =-2.5 x = -1 . x = 0 . x = 1.5
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[DOC File]AP Calculus Assignments: Derivative Techniques
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7. Find the equation of the tangent line to the graph of at the point where y = e2. 8. The itsy bitsy spider is climbing up the water spout. Her position in centimeters as a function of time in seconds is given by y(t) = 150tan–1(t), t ( 0. a. Find Itsy’s velocity as a function of time. b. Find Itsy’s acceleration as a function …
finding original function from derivative

[DOC File]New Chapter 3
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Example 6.11 Find the second derivative of . (Solution To solve this, we must find and then take its derivative. (What does the second derivative of a function tell us about the original function? To investigate this, let’s look at the graph of the function on and some values for as shown in …
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[DOC File]Assignments Differentiation
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Find the derivative of the given function using the definition of the derivative. a. b. 4. Recall the three general ways a function can be discontinuous. ... For each derivative graphed below draw a possible graph of the original function ƒ. a. b. c. 6. Sketch a graph of the derivative …
derivative to original function

Find original function from derivative