Derivative to original function calculator

    • [DOC File]LAB – DERIVATION OF THE SLOPE FUNCTION

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      To complete the table, first recall that when we discuss the slope of the curve at a point, we really mean the slope of the line tangent to the curve at that point. There are several ways to figure out this slope. We are going to use a function of our calculator called DRAW. (2nd function on PRGM key.)

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    • [DOC File]AP Calculus Assignments: Derivative Techniques

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      7. a. Sketch a graph of a continuous function f having f ' > 0 for all x. b. Does the function you sketched in part (a) have an inverse function? HDYK? c. Hypothesize a general rule about the derivative of a continuous function f and the invertibilty of f. d. Use calculus to prove that the function f(x) = x3 + 4x – 5 has an inverse function. e.

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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 means your answer will be in …

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    • [DOC File]AP Calculus AB

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      Student Activity 3 - Function Derivative Cards - A Matching Game. Students are given approximately 30 cards. The cards have either an equation, a graph of f(x), a graph of the first derivative, a graph of the second derivative, or a written explanation of the graph detailing maximums, minimums, and zeros of the original function.

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    • [DOC File]M CC 160 Calculus for Physical Scientists I

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      Set the zoom factors in both the x and y directions to 2. (Refer the calculator manual to learn how to set the zoom factors.) Now, zoom in on the point (3, f(3)) repeatedly (at least five times). Describe how the graphs of the original function f(x) = x3 – 2x + 1 and the tangent line compare in the immediate vicinity of the point (3, f(3)).

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    • [DOC File]Investigating the data by using the dynamic geometry ...

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      Now we want the derivative of our original function. Push the menu button and choose 5: Calculus and then 1:Derivative. This will bring up a template that we can fill in (Fig. 8). Fig.8. We want to enter x in the denominator and then tab over to the larger set of parentheses. Here is where we input the original function, just the name. So type ...

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    • [DOC File]Assignments Differentiation

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      4. The derivative of a continuous function f is given by f '(x) = x3 – x2 – 6x. a. Find the critical points of f. b. On what interval(s) is f increasing? Decreasing? Justify your answers. 5. For each derivative graphed below draw a possible graph of the original function ƒ. a. b. c. 6. Sketch a graph of the derivative …

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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)

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    • [DOC File]Constructing Tangents to Functions and Calculating the ...

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      Assignment 11.2: Create the derivative function, g(x) of a•sin(b•x+c) using the parameter measures and the New Function option from the Graph menu. Plot g(x). The graph of your derivative function should coincide with the graph of the slope of the tangent to f(x) for very small ∂x. If it …

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