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47 Cards in this Set
- Front
- Back
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d/dx[cu] |
cu'
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d/dx[u +/- v]
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u' +/- v'
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d/dx[uv]
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uv' + vu'
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d/dx[u/v]
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(vu' - uv')/v^2
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d/dx[c]
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0
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d/dx[u^n]
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nu^(n-1) u'
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d/dx[x]
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1
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d/dx[|u|]
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(u/|u|)*(u'), u ≠ 0
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d/dx[ln u]
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u'/u
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d/dx[e^u]
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e^u*u' |
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d/dx[log base a of u] |
u'/((ln a)* u)
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d/dx[a^u]
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(ln a)*a^u*u'
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d/dx[sin u]
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(cos u) u'
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d/dx[cos u]
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-(sin u) u'
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d/dx[tan u]
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(sec^2 u) u'
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d/dx[cot u]
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-(csc^2 u) u'
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d/dx[sec u]
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(sec u tan u) u'
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d/dx[csc u]
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-(csc u cot u) u'
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d/dx[arcsin u]
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u'/(sqrt(1-u^2))
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d/dx[arccos u]
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-u'/(sqrt(1-u^2))
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d/dx[arctan u]
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u'/(1+u^2)
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d/dx[arccot u]
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-u'/(1+u^2)
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d/dx[arcsec u]
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u'/(|u| sqrt(u^2-1))
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d/dx[arccsc u]
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-u'/(|u| sqrt(u^2-1))
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⨛kf(u)du
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k⨛f(u)du
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⨛[f(u) +/- g(u)] du
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⨛f(u) du +- ⨛g(u) du
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⨛du
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u+c
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⨛u^n du
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((u^(n+1))/(n+1)) + c, n ≠ -1
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⨛du/u
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ln|u|+c
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⨛e^u du
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e^u + c
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⨛a^u du
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(1/ln a) a^u + c
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⨛sin u du
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-cos u + c
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⨛cos u du
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sin u + c
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⨛tan u du
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-ln|cos u| + c
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⨛cot u du
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ln|sin u| + c
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⨛sec u du
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ln|sec u + tan u| + c
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⨛csc u du
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-ln|csc u + cot u| + c
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⨛sec^2 u du
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tan u + c
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⨛csc^2 u du
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-cot u + c
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⨛sec u tan u du
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sec u + c
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⨛csc u cot u du
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-csc u + c
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⨛du/(sqrt( a^2 - u^2))
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arcsin (u/a) + c
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⨛du/(a^2 + u^2)
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(1/a) arctan (u/a) + c
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⨛du/(u(sqrt( u^2 - a^2)))
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(1/a) arcsec (|u|/a) + c
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sin^2 u + cos^2 u
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1
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1 + tan^2 u
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sec^2 u
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1 + cot^2 u
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csc^2 u
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