Test 1 Flashcards

1
Q

Derive using (c+^x)

A

F(c+^x)-F(c)
^x

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2
Q

(a^3-b^3)

A

(a-b)(a^2+ab+b^2)

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3
Q

a^3+b^3

A

(a+b)(a^2-ab+b^2)

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4
Q

square root rule

A

use the number of the square root and x by the top and bottom flip the value of the non x

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5
Q

what do you keep going

A

limits

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6
Q

lim sin1/x
x->0

A

DNE

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7
Q

lim sin1/x
x->infinite

A

0

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8
Q

lim sin1/x
x->4

A

4

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9
Q

lim sin1 x/x
x->0
lim tan x/x
x->0

A

1

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10
Q

Memorize

A

F(c) is defined
The limit of f(x) does not exist at x=c
The limit of f(x) does exist at x=c, but it is not equal to f(c)

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11
Q

if f is differential at x=c then f is?

A

continious

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12
Q

square root x =?

A

x^1/2

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13
Q

1/x=

A

x^-1

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14
Q

d/dx sinx
d/dx cosx

A

cosx
-sinx

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15
Q

Quotient Rule

A

Use when
F(x)
G(x)
F^(x)g(x)-G^(x)F(x)
g(x)^2

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16
Q

Product Rule

A

use when
F(x)G(x)
F^(x)G(x)+G^(x)F(x)

17
Q

csc
secx
tanx
cotx

A

cscxtanx
secxtanx
sec^2x
csc^2x

18
Q

Chain Rule

A

use when
F(G(x)= F^(G(x))(x^)