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1-Day Ten: Calculus
1-Day Ten: Calculus
21
Mathematics
Undergraduate 1
09/22/2016

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Cards

Term
((Ax^B)+C)^D' =
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Definition
D(((Ax^B)+C)^(D-1))(BAx^(B-1)+0)
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Term
(A(x)B(x))'=
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Definition
(A(x)'B(x))+(B(x)'A(x))
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Term
(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
Average Rate of Change
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Definition
f(x1)-f(x2)/((x1)-(x2))
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Term
Instantaneous Rate of Change
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Definition
(Ax^B)'= (BAx^(B-1))
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Term
How do you find the slope of the tangent line of a function?
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Definition
Take the derivative of the function
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Plug the 'x' value into the derivative, and solve for slope of the tangent line
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Term
How do you find the equation of the tangent line of a function?
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Definition
Find the slope of the tangent of the function (m)
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Plug the 'x' value into the original function and solve for (y1)
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The 'x' value equals (x1)
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Plug (x1), (y1), and (m) into point slope formula
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Term
Point Slope Formula
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Definition
y-y1 = m(x-x1)
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Term
What does 'e' equal?
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Definition
2.7182
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Term
What is 'e'?
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Definition
Natural Number
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Term
(e^x)'=
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Definition
(e^x)
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Term
(e^(g(x)))'
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Definition
g'(x)e^(g(x))
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Term
log x =
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Definition
log(10)x
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Term
lnx =
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Definition
log(e)x
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Term
logxy =
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Definition
logx+logy
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Term
logx/y=
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Definition
logx-logy
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Term
logx^r
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Definition
rlogx
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Term
How do you change
log(a)x
Into a Natural logarithm, if a>0?
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Definition
lnx/lna
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Term
(ln(x))'=
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Definition
1/x
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Term
(ln[g(x)])'=
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Definition
((g'(x))/g(x))
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Term
(ln(Ax))'=
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Definition
A'(x)/A(x)
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