24 Derivative Rules

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24 Terms

1

f(x)=sin(x)

f'(x)=cosx

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2

f(x)=cos(x)

f'(x)=-sinx

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3

f(x)=tan(x)

f'(x)=sec^2(x)

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4

f(x)=sec(x)

f'(x)=sec(x)tan(x)

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5

f(x)=csc(x)

f'(x)=-csc(x)cot(x)

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6

f(x)=cot(x)

f'(x)=-csc^2(x)

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7

f(x)=c

f'(x)=0

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8

f(x)=cx

f'(x)=c

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9

f(x)=x^n

f'(x)=nx^n-1

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10

f(x)=e^x

f'(x)=e^x

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11

f(x)=lnx

f'(x)= 1/x

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12

f(x)=A^x

f'(x)=(lnA)(A^x)

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13

f(x)=loga(x)

f'(x)=1/lnA*x

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14

f(x)=[X]

f'(x)= {1,x>=0 -1, x<0

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15

f(x)=sin^-1(x)

f'(x)=1/sqrt(1-x^2)

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16

f(x)=sec^-1(x)

f'(x)=1/[x]*sqrt(x^2-1)

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17

f(x)=tan^-1(x)

f'(x)=1/(1+x^2)

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18

f(x)=cos^-1(x)

f'(x)=-1/sqrt(1-x^2)

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19

f(x)=csc^-1(x)

f'(x)=-1/[x]*sqrt(x^2-1)

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20

f(x)=cot^-1(x)

f'(x)=-1/1+x^2

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21

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

f'(x)=g(x)h'(x)+g'(x)h(x)

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22

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

f'(x)=h(x)g'(x)-g(x)h'(x) / h^2(x)

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23

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

f'(x)= h'(g(x))*g'(x)

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24

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

f'(x)=1/g'(g^-1(x))

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