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27 Cards in this Set
- Front
- Back
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d/dx[u+/-v] |
u' +/- v' |
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d/dx[c] |
0 |
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d/dx[cu] |
c * u' |
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d/dx[x] |
1 |
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d/dx[u^n] |
nu^(n-1) * u' |
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d/dx[uv] |
uv' + vu' |
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d/dx[u/v] |
(vu'-uv')/(v^2) |
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d/dx[f(g(x))] |
f'(g(x)) * g'(x) |
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d/dx[ln u] |
1/u * u' |
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d/dx[log_a u] |
1/(u lna) * u' |
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d/dx[e^u] |
e^u * u' |
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d/dx[a^u] |
a^u * lna * u' |
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d/dx[sin u] |
cos u * u' |
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d/dx[cosu] |
-sinu * u' |
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d/dx[secu] |
Secu * tanu * u' |
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d/dx[cscu] |
-cscu * cotu * u' |
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d/dx[tanu] |
Sec^2 u * u' |
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d/dx[cotu] |
-csc^2 u * u' |
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d/dx[arcsinu] |
1/(√1-u^2) * u' |
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d/dx[arc cos u] |
-1/(√1-u^2) * u' |
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d/dx[arc secu] |
1/(|u|√u^(2) -1) * u' |
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d/dx[arc cscu] |
-1/(|u|√u^(2) - 1) *u' |
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d/dx[arc tanu] |
1/(u^(2) +1) * u' |
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d/dx[arc cotu] |
-1/(u^(2)+1) * u' |
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d/dx[f^-1(x)] |
1/(f'(f^-1(x))) |
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dy/dx when in parametric |
dy/dx = (dy/dt)/(dx/dt) |
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(d^(2) y) / (dx^2) when in parametric |
(d^(2) y) / (dx^2) = ((d/dt)(dy/dx)) / (dx/dt) |
