Formula Sheet Flashcards by alexia oltramare | Brainscape

Q

Derivative definition

A

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Q

L’hopital Rule

A

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Q

Average rate Δ

A

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Q

Avg Value

A

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Q

Top heavy:

A

slant asymptote/diverge (long division)

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Q

Bottom heavy:

A

y = 0

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Q

Degree N = D (balanced)

A

Ratio of Coeff

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Q

Fundamental th. Calc 1

A

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Q

Fundamental Th. Calc 2

A

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Q

The Extreme-Value Theorem:

A

If continuous [a,b] then must have absolute max & min

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Q

The Mean Value Theorem

A

If continuous on [a,b] and differentiable (a,b)

Average rate of change = slope tangent line at some point

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Q

Rolle’s Theorem (special case MVT)

A

If continuous on [a,b] and differentiable (a,b)

HORIZONTAL tangent line at some point

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Q

Intermediate Value Theorem:

A

If continuous on [a,b] and f(a) ≤ x ≤ f(b)

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Q

Trig

A

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Q

A

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Q

A

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Q

Chain Rule

A

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Q

Point of inflection

A

concavity changes or f’‘(x) changes sign

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Q

Volume of Solids with Known Cross-Sections

A

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Q

Volume of Solids with Known Cross-Sections

EQUILIATERAL TRIANGLE

A

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Q

Volume of Solids with Known Cross-Sections

SEMI CIRCLE

A

Q

Area between two graphs

A

Q

Arc Length

A

Q

Polar to rectangular

A

Q

Rectangular to polar

A

Q

Arc Length Parametric

A

Q

Arc Length of a Polar curve

A

Q

Area enclosed by a polar curve

A

Q

Second Derivative of Parametric

A

Q

Acceleration Vector

A

Q

Speed of Parametric

A

Q

Total Distance Parametric

A

integral of velocity (V)

Q

Sum of an Infinte Geometric Series

A

Q

Nth term Test

A

Q

Geometric Series Test

A

Q

P-series

A

Q

Alternating series

A

Q

Alternating Series Error Bound

A

Q

Ratio Test

A

CHECK ENDPOINTS

Q

Direct Comparison

A

If bigger series C, smaller must also C

If smaller series D, bigger must also D

Q

Limit Compairson Test

A

either both series C or D

Q

Absolutely Convergent

A

Q

Taylor Series

A

Q

Lagrange Error Bound

A

M for sin and cos = 1

Q

Elementary Function: e^x

A

Q

Elementary Function: cosx

A

Q

Elementary Function: sinx

A

Q

Elementary Function: 1 / (1-x)

A

Q

Reiman Sums

A

Q

Trapezoidal Sum

A