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Definition
log x + log y
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Definition
log x - log y
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Definition
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Definition
ln x / ln10
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Definition
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Definition
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How do you solve the following?
lna'
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Definition
Treat "a" as if it is a function
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Find a'
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Set a'/a
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Your solution is
a'/a
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How do you solve the following?
(ln(A-Bx))'
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Definition
Divide the Derivative of (A-Bx) by (A-Bx)
This will Give You
(-B/A-Bx)
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Your solution is:
(-B/A-Bx)
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How do you solve the following?
(ln(sqrt(x-A)))'
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Definition
ln(sqrt(x-A)) = ln((x-A)^1/2)
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ln((x-A)^1/2) = (1/2)ln(x-A)
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Take the derivative of
ln(x-A)
which is
1/x-A
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Multiply 1/x-A by 1/2
1/2(x-A)
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Your solution is
1/2(x-A)
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How do you solve the following?
(ln(Ax+B)((x^C)+D))'
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Definition
ln(Ax+B)((x^C)+D) = ln(Ax+B)+ln((x^C)+D)
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Take the Derivative of ln(Ax+B) and ln((x^C)+D) and add them together
Which Will Give You
(A/Ax+B) + (Cx/((x^C)+D))
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Your Solution is
(A/Ax+B) + (Cx/((x^C)+D))
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How do you solve the following?
(ln(Ax+B)/(Cx+D))'
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Definition
ln(Ax+B)/(Cx+D)= ln(Ax+B)-ln(Cx+D)
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Take the derivative of
ln(Ax+B) and ln(Cx+D) and subtract them from one another
This will give you...
(A/Ax+B)-(C/Cx+D)
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Your solution is:
(A/Ax+B)-(C/Cx+D)
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Definition
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What is Change of Base?
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Definition
log x = ln x / ln10
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Definition
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Definition
ln Bx / lnA
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How do you find the slope of a tangent line?
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Definition
Take the derivative of the original function, plug in the value of 'x' into the derivative and solve for 'm'
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Definition
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How do you find the Equation of the Tangent Line?
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Definition
1.) Find the slope of the tangent line
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2.) Find y, by plugging in the value of 'x' into the original function, and solving for y1
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3.) The value of 'x' is 'x1'
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4.) Now plug the values of x1, y1, and m into the slope formula to solve for the equation of the tangent line
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Point Slope Formula is...
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Definition
y-y1=m(x-x1)
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What is Average Rate of Change?
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Definition
f(x1)-f(x2)/x1-x2
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What is Instantaneous Rate of Change/Derivative?
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Definition
(Ax^B)' = (BAx^B-1)
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(A(x)*B(x))'=
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Definition
(A'(x)*B(x))+(B'(x)*A(x))
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When the slope of a line is zero, is the line horizontal or vertical?
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Definition
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Dividing Derivatives
A(x)/B(x)
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Definition
((A'(x)*B(x))-(B'(x)*A(x)))/(B(x)^2)
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How Do You Find Marginal (Cost/Profit/Revenue)?
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Definition
Take the Derivative of the (Cost/Profit/Revenue) Function
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