Term
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Definition
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Term
Point Slope Form
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Definition
y-y1 = m(x-x1)
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Term
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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Term
Antiderivative of:
Ax^n if n is equal to -1
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Definition
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Term
Antiderivative of:
e^(kx)
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Definition
(1/k)e^(kx)+C
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Term
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
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2.) Plug the value of "x" into the derivative to solve for slope(m)
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3.) Plug the value of "x" back into the original function, to solve for "y1"
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4.) x = x1, so you don't need to solve for x1
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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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Term
What is Instantaneous Rate of Change?
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Definition
The Derivative of the Function
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Term
What is Average Rate of Change?
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Definition
f(a)-f(b) / (a-b)
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Term
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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Term
What are tips for finding the antiderivative in which there is a 'u'?
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Definition
1.) Find u'
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2.) Set the original function next to 1/u' and factor out common factors between the A value of the original function and u'.
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3.) Multiply them together
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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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Term
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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Term
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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