# Derivative rules

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f(x)=xn

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## Tags and Description

### 25 Terms

1

f(x)=xn

f1(x)=nxn-1

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2

f(x)=cx

f1(x)=c

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3

f(x)=c

f1(x)=0

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4

f(x)=cxh

f1(x)=cnxn-1

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5

f(x)=ex

f1(x)=ex

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6

f(x)=Ax

f1(x)=lnA⋅Ax

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7

f(x)=logax

f1(x)=1 / x ln A

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8

f(x)=|x|

f1(x)=|x| / x

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9

f(x)=sinx

f1(x)=cosx

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10

f(x)=cosx

f1(x)=-sinx

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11

f(x)=tanx

f1(x)=sec2x

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12

f(x)=secx

f1(x)=secx tanx

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13

f(x)=cscx

f1(x)=-cscx cotx

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14

f(x)=cotx

f1(x)=-csc2x

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15

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

f1(x)=g1(h(x)) h1(x)

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16

sin-1x

1/√1-x²

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17

sec-1x

1/|x|√x2-1

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18

tan-1x

1/1+x2

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19

cos-1x

-1/√1-x2

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20

csc-1x

-1/|x|√x2-1

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21

cot-1x

-1/1+x2

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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)g1(x) - g(x)h1(x)/h(x)2

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25

f(x)= g-1(x)

1/g1(g-1(x))

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