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1-Day Six: Calculus
1-Day Six: Calculus
15
Mathematics
Undergraduate 1
09/06/2016

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Cards

Term
What is the Derivative of This?
A(sqrt x)
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Definition
A*(1/x) = A/x
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Term
What is the Equation of a Line?
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Definition
y-y1=m(x-x1)
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Term
How do You Find Average Rate of Change?
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Definition
You will be given one function and two "x" values.
f(x) = x+A
x=B
x=C
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Solve the function for both "x" values
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Average Rate of Change is Change In Y Over Change In X

f(B)-f(C)/B-C
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Term
How Do You Find The Slope of the Tangent Line?
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Definition
Find the Derivative Of The Function
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If x=A, plug "A" in for "x" in the derivative and solve for "m"
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Term
How Do You Find the Equation of the Tangent Line?
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Definition
Solve for m
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If x=A, solve for f(A) which equals y1
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If x=A, then x1=A
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Plug x1, y1, and m into the line equation
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Isolate y
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Term
What is the Derivative of?
Ax^B
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Definition
BAx^(B-1)
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Term
What is The Algebraic Formula For Instantaneous Rate of Change?
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Definition
lim f(h+a)-f(a)/h
When lim -> 0
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Term
What is the Solution to?
(A+B)^2
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Definition
A^2+2BA+2B
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Term
How Do You Solve The Algebraic Formula For Instantaneous Rate of Change?
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Definition
1.) f(h+a)
2.) f(a)
3.) f(h+a)-f(a)
4.) f(h+a)-f(a)/h
5.) Find The Limit of f(h+a)-f(a)/h, when h=0
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Term
How Do You Find The Marginal Cost of A Cost Function?
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Definition
You take The Derivative of The Cost Function
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Term
What is the Derivative of A?
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Definition
0
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Term
What is the Derivative of Ax?
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Definition
A
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Term
How Do You Find The Marginal Profit of a Profit Function?
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Definition
Find the Slope of the tangent line of the profit function
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Term
How Do You Find The Derivative of a Product (What is the Product Rule)?
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Definition
You take the Derivative of the First Function times the Second Function, plus the Derivative of the Second Function Times the First Function
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Term
What is the Derivative of the Following?
f(x)=A(x)*B(x)
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Definition
f'(x)=(A'(x)*B(x))+(B'(x)*A(x))
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