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What is Point Slope Formula?
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Definition
y-y1=m(x-x1)
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What is the Derivative/Instantaneous Rate of Change of:
(Ax)^B
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Definition
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How Do You Find Average Rate of Change?
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Definition
(f(x1)-f(x2))/((x1)-x2))
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How Do You Find The Slope of A Tangent Line Using a Function and a x value?
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Definition
Take the derivative of the function
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Plug the x value into the derivative of the function, to solve for slope of tangent line
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How Do You Find The Equation of A Tangent Line, When Given A Function and a x value?
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Definition
Solve for Slope(m) of Tangent Line
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Plug the x value into the original function, to solve for y1
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The x value equals x1
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Plug x1, y1, and m into the point slope formula, and isolate the y
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Term
What is The Chain Rule?
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Definition
If y = f[g(x)]
y'=f'[g(x)]*g'(x)
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How Do You Find The Derivative of:
y=((Ax^B)-Cx)^D
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Definition
Make
((Ax^B)-Cx)
Equal u
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Now
y = u^D
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Take the Derivative of y = u^D
Du^D-1
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Take the Derivative of y=u
(BAx^(B-1))-C
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Multiply
(Du^D-1)*((BAx^(B-1))-C)
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Term
What is the Generalized Power Rule?
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Definition
If y=u^n
Then
y'=(nu^(n-1))*u')
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Term
How Do You Find The Derivative of This Function?
y=(Ax+B)^C
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Definition
(Ax+B) = u
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g(x) = u^c
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g'(x) = cu^(c-1)
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u' = A
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g'(x) * u'
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Term
This statement is equal to....
y= Aroot of B^C
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Definition
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Term
What Does This Equal?
A^-B
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Definition
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Term
What is this equal to?
Ax/(x^(-B/D))
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Definition
Ax-(x^(B/D))
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