Studied by 18 people

2.0(1)

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hint

1

f(x)=x^{n}

f^{1}(x)=nx^{n-1}

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2

f(x)=cx

f^{1}(x)=c

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3

f(x)=c

f^{1}(x)=0

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4

f(x)=cx^{h}

f^{1}(x)=cnx^{n-1}

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5

f(x)=e^{x}

f^{1}(x)=e^{x}

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6

f(x)=A^{x}

f^{1}(x)=lnA⋅A^{x}

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7

f(x)=log_{a}x

f^{1}(x)=1 / x ln A

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8

f(x)=|x|

f^{1}(x)=|x| / x

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9

f(x)=sinx

f^{1}(x)=cosx

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10

f(x)=cosx

f^{1}(x)=-sinx

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11

f(x)=tanx

f^{1}(x)=sec^{2}x

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12

f(x)=secx

f^{1}(x)=secx tanx

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13

f(x)=cscx

f^{1}(x)=-cscx cotx

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14

f(x)=cotx

f^{1}(x)=-csc^{2}x

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15

f(x)=g(h(x))

f^{1}(x)=g^{1}(h(x)) h^{1}(x)

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16

sin^{-1}x

1/√1-x²

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17

sec^{-1}x

1/|x|√x2-1

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18

tan^{-1}x

1/1+x^{2}

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19

cos^{-1}x

-1/√1-x^{2}

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20

csc^{-1}x

-1/|x|√x^{2}-1

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21

cot^{-1}x

-1/1+x^{2}

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22

f(x)= lnx

1/x

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23

f(x)= g(x) • h(x)

g(x)h1(x)+h(x)g1(x)

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24

f(x)=g(x)/h(x)

h(x)g^{1}(x) - g(x)h^{1}(x)/h(x)^{2}

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25

f(x)= g^{-1}(x)

1/g^{1}(g^{-1}(x))

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