AP Calc BC

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AP Calculus BC

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7 Terms

1
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Maclaurin Series

Find derivatives

Plug in x = 0

Multiple by x^n and divide by n!

<p>Find derivatives </p><p>Plug in x = 0</p><p>Multiple by x^n and divide by n!</p>
2
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Maclaurin Series: 1/(1-x)

1 + x + x² + x³ … + x^n

Geometric Series: geometry is simple, just add x

3
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Taylor Series

Find derivatives of function

Use x = c in derivatives

Multiply by (x-c)^n and divide by n!

<p>Find derivatives of function</p><p>Use x = c in derivatives</p><p>Multiply by (x-c)^n and divide by n!</p>
4
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Maclaurin Series: e^x

1 + x + x² /2! + x³/3! … x^n/n!

Exponential Series: exponents match factorials

5
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Maclaurin Series: sin x

x - x³/3! + x^5/5! - x^7/7! …

Sin starts with x, switches signs, and is sinisterly odd

<p>x - x³/3! + x^5/5! - x^7/7! …</p><p>Sin starts with x, switches signs, and is sinisterly odd</p>
6
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Maclaurin Series: cos x

1 - x²/2! + x^4/4! - x^6/6! …

Cos starts with x, switches signs, and commonly even

<p>1 - x²/2! + x^4/4! - x^6/6! …</p><p>Cos starts with x, switches signs, and commonly even</p>
7
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Parametric and Cartesian Conversians

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