Term
How do you find the average rate of change for the given function:
f(x)=(x^2)+Ax
between x=B x=C
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Definition
1.) Solve
f(B)
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2.) Solve
f(C)
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3.) Solve
B-C
------------
4.) Solve
f(B) - f(C) / B-C
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Term
How do you find the average rate of change for the given function:
f(x)=(x^2)+Ax
between x=0 x=B
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Definition
1.) Solve
f(B)
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2.) Solve
f(B)/ B
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Term
How do you find the average rate of change for the given function:
f(x)=(Ax^3)-(Bx^2)+C
between x=-1 x=1
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Definition
1.) Solve f(-1)
(-A)+B+C
---------------
2.) Solve f(1)
A-B+C
--------------
3.) Solve
((-A+B+C)-(A-B+C))/-2
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Term
How do you find the average rate of change for the given function:
f(x)=A(sqrt x)
x=1 x=(A^2)
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Definition
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Term
How do you find the average increase in sales if you have the amount of change and rate of change, and if the amount of change needs to be in 1,000s but is equal to 10,000?
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Definition
| (Amount of Change*Rate of Change)/10 |
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Term
How do you find the average increase in sales if you have the amount of change and rate of change, and if the amount of change needs to be in 1,000s but is equal to 5,000?
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Definition
(Amount of Change*Rate of Change)/5
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Term
How do you find instantaneous rate of change?
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Definition
f(a+h)-f(a)/f(h)
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Term
How do you find the instantaneous rate of change of the given function?:
f(x)=(Ax^2)+Bx+C
x=B
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Definition
1.) Solve f(x+h)
A((x+h)^2)+B(x+h)+C
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2.) A((B+h)^2)+B(B+h)+C
--------------------------
3.) A((B+h)(B+h))+B(B+h)+C
--------------------------
4.) A((B^2+2Bh+h^2))+((B^2)+(Bh)+C)
------------------------------
5.) (A*B^2)+(A*2Bh)+(A*h^2)+((B^2)+(Bh)+C)
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6.) Simplify this into a trinomial ordered from the highest to lowest power
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7.) Your solution is the second factor
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Term
How do you find the instantaneous rate of change of the given function?:
f(x)=(Ax^2)+Bx+C
x=B
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Definition
1.) Find the Derivative of the Function
((2*A)x)+B
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2.) Make x=B
((2*A)B)+B
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Term
How do you find the Derivative of this?
Ax^3
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Definition
1.) ((3*A)x^2)
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Term
How do you find the Derivative of this?
Ax^2
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Definition
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Term
How do you find the Derivative of this?
Ax^2+Bx
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Definition
1.) ((2*A)x)+B
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Term
How do you find the Derivative of this?
Ax^2+Bx+C
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Definition
1.) ((2*A)x)+B
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Term
How do you find the Derivative of this?
Ax^B+Cx+D
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Definition
1.) (B*A)(x^(B-1))+C
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