24 Derivative Rules
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24 Terms
1
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f(x)=sin(x)
f'(x)=cosx
2
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f(x)=cos(x)
f'(x)=-sinx
3
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f(x)=tan(x)
f'(x)=sec^2(x)
4
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f(x)=sec(x)
f'(x)=sec(x)tan(x)
5
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f(x)=csc(x)
f'(x)=-csc(x)cot(x)
6
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f(x)=cot(x)
f'(x)=-csc^2(x)
7
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f(x)=c
f'(x)=0
8
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f(x)=cx
f'(x)=c
9
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f(x)=x^n
f'(x)=nx^n-1
10
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f(x)=e^x
f'(x)=e^x
11
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f(x)=lnx
f'(x)= 1/x
12
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f(x)=A^x
f'(x)=(lnA)(A^x)
13
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f(x)=loga(x)
f'(x)=1/lnA*x
14
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f(x)=[X]
f'(x)= {1,x>=0 -1, x<0
15
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f(x)=sin^-1(x)
f'(x)=1/sqrt(1-x^2)
16
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f(x)=sec^-1(x)
f'(x)=1/[x]*sqrt(x^2-1)
17
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f(x)=tan^-1(x)
f'(x)=1/(1+x^2)
18
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f(x)=cos^-1(x)
f'(x)=-1/sqrt(1-x^2)
19
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f(x)=csc^-1(x)
f'(x)=-1/[x]*sqrt(x^2-1)
20
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f(x)=cot^-1(x)
f'(x)=-1/1+x^2
21
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f(x)=g(x)h(x)
f'(x)=g(x)h'(x)+g'(x)h(x)
22
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f(x)=g(x)/h(x)
f'(x)=h(x)g'(x)-g(x)h'(x) / h^2(x)
23
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f'(x)=h(g(x))
f'(x)= h'(g(x))*g'(x)
24
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f(x)=g^-1(x)
f'(x)=1/g'(g^-1(x))