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[DOC File]CALCULUS AB
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To find the maximum of the function, take the derivative with respect to q2, and set the derivative equal to zero. Solving for q2 gives q2=30. Substitute into the budget constraint to get q1=20 (and U=600), and note that this is the same answer that you found using the Lagrangian method. (And, as with the Lagrangian method, to be sure that this ...
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[DOC File]Constructing Tangents to Functions and Calculating the ...
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8. Find the derivatives of functions numerically, algebraically, and graphically. Calculate the derivative of a function (using basic rules of differentiation, including the chain rule and implicit differentiation) and use it to find the slope, tangent, higher derivatives.
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[DOC File]Standards
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On Part A, you are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your problem, namely the equation, function, or integral you are using.
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[DOC File]Derivatives
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For the general logarithmic function , . Here again a is a positive number not equal to 1. Example 1: Calculate the derivative of the function . Example 2: Calculate the derivative of the function . Example 3: Calculate the derivative of the function with respect to z. Example 4: Calculate the derivative of the function with respect to t ...
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Derivative Calculator | The best Inverse Function Calculator
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. Say we are given f(x) = x2 we want to find ...
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[DOC File]Simple Rules for Differentiation
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• Be able to calculate derivatives using the chain rule and the derivative rules learned in the previous sections. • Be able to find the equation of the tangent line to a function at a point. • Be able to calculate the derivative of a composite function given information about …
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[DOC File]MTH 251 - CALCULUS
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Function Derivative xn nx n-1 ex ex ax (ln a)ax uv If y = f(u) and . u = g(x), then sin x cos x cos x - sin x tan x ln x * arctan x * arcsin x * *Derived on pgs. 226-27 of Hughes-Hallett. Integrals. Function Integral xn ex ex sin x - cos x cos x sin x tan x - ln | cos x | tan x ln x ln x x ln x – x , x > 0 ax
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[DOC File]Worksheet on Derivatives
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The original function takes x and computes the second coordinate for the graph point at x. The derivative takes x and computes the instantaneous rate of change of the function at x. Let’s look at a table of these: x Graph point. Slope of tngt l (2 (8 12 (1 (1
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[DOC File]Derivatives
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Check your derivative function by asking for the derivative of f(x) under the Graph menu. Using the same process as above, construct a secant-tangent line to the general cosine function g(x)= a•cos(b•x+c) (the light blue curve in figure 11.6). Plot the slope of this line as x varies. Make a conjecture about the derivative of the cosine ...
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Calculate derivative of a function