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1-Day Five: Calculus
1-Day Five: Calculus
10
Mathematics
Undergraduate 1
09/01/2016

Additional Mathematics Flashcards

 


 

Cards

Term
What is the Derivative?
x^A
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Definition
Ax^(A-1)
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Term
What is the Derivative?
A
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Definition
0
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Term
What is The Solution?
A^0
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Definition
1
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Term
What is the Derivative?
(Ax^B)+(Cx^D)+(Ex^F)
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Definition
(BAx^(B-1))+(DCx^(D-1))+(EFx^(F-1))
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Term
What is the Negative Exponent Rule?
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Definition
A^-B = 1/A^B
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1/A^-B = A^-B/1
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Term
What is this equal to?
A-Bx-Cx^D/E^F
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Definition
(A/E^F)-(Bx/E^F)-(Cx^D/E^F)
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Term
What is the Solution To This Problem?
Ax^B/x^C
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Definition
Ax^(B-C)
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Term
"n" root x to the power of "m"

Can be Converted Into?
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Definition
(x^(m/n))
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Term
What is the Solution of The Following Problem?
A/B * C/D
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Definition
AC/BD
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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
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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 x1, y1, and the slope.
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6.) Now plug those values into the point slope formula to solve for the equation of the tangent line.
y-y1=m(x-x1)
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