trig derivatives and rules Flashcards

1
Q

sin(x)

A

cos(x)

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2
Q

cos(x)

A

-sin(x)

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3
Q

tan

A

sec^2(x)

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4
Q

csc

A

-cot(x)csc(x)

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5
Q

sec

A

tan(x)sec(x)

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6
Q

cot

A

-csc^2

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7
Q

e^ln pi

A

Pi

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8
Q

Sin(pi) cos(pi)

A

0, -1

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9
Q

Ln(e)

A

1

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10
Q

Log rule
Ex: log5(x)

A

1/ln5(x)
All under 1, and all same except lov becomes Ln

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11
Q

Exponential rule derivatives
Ex: 5^p

A

5^p Ln 5

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12
Q

tan line formula

A

y= f(a)(x-a) + f(a)

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13
Q

diff of squares

A

(A-B)(A^2 +AB + B^2)

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14
Q

Displacement

A

S(t2)-s(t1)

S is position
Plug in position of it during time 2 minus its position during time 1

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15
Q

Average velocity

A

S(t2)-s(t1)/ t2-t1

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16
Q

Instantaneous velocity

A

V(to)= s’(to)

17
Q

Instantaneous Speed

A

|V(to)| basically same as instantaneous volume but of its absolute value

18
Q

Instantaneous acceleration

A

V’(to)