Term
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Definition
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Point Slope Form ------------- |
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Definition
y-y1 = m(x-x1) -------------- |
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Antiderivative of:
Ax^n if n is not equal to -1 --------------------- |
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Definition
A(1/n+1)x^(n+1)+C ------------- |
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Antiderivative of:
Ax^n if n is equal to -1 --------------------- |
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Definition
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Antiderivative of:
e^(kx) ------------------------ |
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Definition
(1/k)e^(kx)+C ------------- |
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How do you find instantaneous rate of change and find the equation of the Tangent Line? -------------------- |
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Definition
1.) Take the Derivative of the Function ----------------------- 2.) Plug the value of "x" into the derivative to solve for slope(m) -------------------------------- 3.) Plug the value of "x" back into the original function, to solve for "y1" ------------------------- 4.) x = x1, so you don't need to solve for x1 --------------------------- 5.) You now know m,x,and y1. Now plug them all into Point slope formula for the equation of the tangent line ---------------------------- |
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What is Instantaneous Rate of Change? -------------------- |
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Definition
The Derivative of the Function ------------- |
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What is Average Rate of Change? -------------------- |
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Definition
f(a)-f(b) / (a-b) ----------------- |
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How Do You Find Marginal (Cost/Profit/Revenue)? ---------------- |
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Definition
Take the Derivative of the (Cost/Profit/Revenue) Function --------------- |
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What are tips for finding the antiderivative in which there is a 'u'? ------------------ |
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Definition
1.) Find u' --------------- 2.) Set the original function next to 1/u' and factor out common factors between the A value of the original function and u'. ---------------------- 3.) Multiply them together -------------------------- 4.) Take the antiderivative of the function unless the function is exponential in which for some reason you just add "+C", substitute the value of "u" back in, and your done. ---------------------- |
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Term
Multiplying Derivatives (A(x)*B(x))'= ------------ |
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Definition
(A'(x)*B(x))+(B'(x)*A(x)) ------------- |
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Dividing Derivatives A(x)/B(x) ----------- |
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Definition
((A'(x)*B(x))-(B'(x)*A(x)))/(B(x)^2) --------------- |
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What is average cost? --------- |
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Definition
Cost Function / x --------------- |
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Term
((Ax-B)^C)' ----------------- |
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Definition
(C(Ax-B)^C-1)*(A) ----------------- |
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