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25 Cards in this Set
- Front
- Back
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F(x)=C
what is the derivative? |
F'(x)=0
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F(x)=x^n
What is the derivative? |
F'(x)=n(x^n-1)
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F(x)=e^x
What is the derivative? |
F'(x)=e^x
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F(x)=ln(x)
What is the derivative? |
F'(x)=1/x
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F(x)=b^x
What is the derivative? Ex: e^(xlnb) |
F'(x)=lnb*b^x
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F(x)=sinx
What is the derivative? |
F'(x)=cosx
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F(x)=cosx
What is the derivative? |
F'(x)=-sinx
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F(x)=tanx
What is the derivative? |
F'(x)=secx
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F(x)=secx
What is the derivative? |
F'(x)=secxtanx
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F(x)=cscx
What is the derivative? |
F'(x)=-cscxcotx
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F(x)=cotx
What is the derivative? |
F'(x)=-csc^2x
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F'(x)=0
What is the antiderivative? |
F(x)=C
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F'(x)=K
What is the antiderivative? |
F(x)=kx+C
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F'(x)=x^n
What is the antiderivative? |
F'(x)=((x^n+1)/(n+1))+C
If n does not equal -1 |
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F'(x)=1/x
What is the antiderivative? |
lnIxI+C
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F'(x)=e^x
What is the antiderivative? |
e^x+C
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F'(x)=b^x
What is the antiderivative? |
(1/lnb)*(b^x)+C
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F'(x)=sinx
What is the antiderivative? |
-cosx
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F'(x)=cosx
What is the antiderivative? |
sinx+C
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F'(x)=sec^2x
What is the antiderivative? |
tanx+C
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F'(x)=secxtanx
What is the antiderivative? |
secx+C
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Product Rule
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(Fs)'=F'(s)+F(s')
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Chain Rule
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[F(u(x))]'=F'(u(x))*u'(x)
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U<------>dv
LIATE |
Log
Inverse Trig Algebraic Trig Exponential |
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integrals of:
sinacosb cosacosb sinasinb |
1/2(sin(a+b)+sin(a-b))
1/2(cos(a+b)+cos(a-b)) 1/2(cos(a-b)-cos(a+b)) |
