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45 Cards in this Set
- Front
- Back
d/dx [C]
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0
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d/dx [kx]
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k
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d/dx [k f(x)]
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k f'(x)
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d/dx [f(x) +- g(x)]
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f'(x) +- g'(x)
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d/dx [x^n]
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nx^(n-1)
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d/dx [sinx]
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cosx
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d/dx [cosx]
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-sinx
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d/dx [tanx]
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sec²x
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d/dx [secx]
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secxtanx
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d/dx [cotx]
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-csc²x
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d/dx [cscx]
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-cscxcotx
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$ 0dx
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C
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$ kdx
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kx + C
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$ kf(x)dx
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k $f(x)dx
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$ [f(x) +- g(x)]
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$f(x) + $g(x)
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$ x^ndx
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(x^(n+1))/(n+1) + C
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$ cosxdx
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sinx + C
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$ sinxdx
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-cosx + C
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$ sec²x
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tanx + C
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$ secxtanx
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secx + C
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$ csc²x
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-cotx + C
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$ cscxcotxdx
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-cscx + C
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d/dx [ln x]
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1/x
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d/dx [ln u]
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1/u du
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d/dx [ln |u|]
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1/u du
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d/dx [e^x]
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e^x
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d/dx [e^u]
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e^u du
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d/dx [e^e]
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o
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d/dx [x^e]
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ex^(e-1)
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d/dx [a^x]
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(ln a)a^x
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d/dx [a^u]
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(ln a)a^u du
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d/dx [loga x]
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1/((ln a)x)
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d/dx [loga u]
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1/((ln a)u)
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$ 1/x dx
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ln |x| + C
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$ 1/u du
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ln |u| + C
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$ e^x dx
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e^x + C
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$ e^u du
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e^u + C
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$ a^x dx
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(1/(ln a))a^x + C
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$ sinu du
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-cosu + C
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$ cosu du
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sinu + C
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$ tanu du
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-ln |cos u| + C
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$ cotu du
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ln |sin u| + C
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$ secu du
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ln |secu + tanu| + C
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$ cscu du
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-ln |cscu + cotu| + C
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When should you use long division?
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When the degree of the numerator is equal to or larger than the degree of the denominator
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