Welcome to Toros AP Cal Flashcards

1
Q

The definition of the derivative

(the slope of the tangent line)

A
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2
Q

(k = constant number)

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3
Q

(k = constant)

A

0

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4
Q
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5
Q
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6
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7
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8
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9
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10
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11
Q
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12
Q

How do we find if a piecewise function is differentiable at a specific value for x?

A
  1. You check for continuity
  2. You check that the derivatives of the pieces (functions) that are around your point of interest (x value) are the same.
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13
Q

Product Rule for:

A

Derivative of the f(x) times g(x) plus the derivative of g(x) times f(x).

ie: f ā€˜(x)g(x) + f(x)gā€™(x)

or

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14
Q

Quotient Rule for:

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15
Q

Quotient Rule Mnemonic Device

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16
Q
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17
Q
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18
Q

Chain Rule for Derivatives

A