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1-Day Seven: Calculus
1-Day Seven: Calculus
17
Mathematics
Undergraduate 1
09/08/2016

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Cards

Term
What is the Derivative?
Ax^B
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Definition
BAx^(B-1)
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Term
What is Average Rate of Change if you are given a function and x1 = A and x2 = B?
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Definition
((f(A)-f(B))/(A-B))
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Term
What Are The Steps To Solving Instantaneous Rate of Change Problems When Finding the Tangent Line?
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Definition
Find the Derivative of the Function
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Insert the "x" value into the derivative to solve for slope
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Insert the "x" value into the original function to solve for y1
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x1 = "x" value
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Use x1, y1, and m in the point slope formula to solve for the tangent line
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Term
What Is Point Slope Formula?
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Definition
y-y1=m(x-x1)
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Term
How Do You Multiply These Derivatives?
Ax*Bx
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Definition
(((Ax')*Bx)+((Bx')*Ax))

And Simplify
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Term
What is the Solution to...?
Ax^B*Cx^D
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Definition
ACx^(B+D)
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Term
How Do You Find The Marginal Cost When Given A Cost Function?
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Definition
Take the Derivative of the Function
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Term
How Do You Find The Marginal Revenue When Given A Revenue Function?
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Definition
Take the Derivative of the Function
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Term
How Do You Find The Marginal Profit When Given A Profit Function?
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Definition
Take the Derivative of the Function
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Term
What Does This Equal?
x^(1/2)
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Definition
Square Root of "x"
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Term
What Does This Equal?
x^(A/B)
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Definition
B root of x^A
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Term
How Do You Divide These Derivatives?
Ax/Bx
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Definition
((((Ax')*(Bx))-((Bx')*(Ax)))/(Bx^2))
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Term
What Does This Equal?
(x^A)^B
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Definition
x^(A*B)
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Term
How Do You Find The Derivative of This?
Ax/Bx
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Definition
((((Ax')*(Bx))-((Bx')*(Ax)))/(Bx^2))
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Term
What is the Slope of A Function Equal to?
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Definition
The Derivative of The Function
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Term
When You Are Given The x and y coordinate of a point, you are being given what?
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Definition
The value for x1 and y1
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Term
How Do You Calculate Average Cost?
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Definition
Cost Function / x
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