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calculus
Question | Answer |
---|---|
d/dx[cu] | cu' |
d/dx[u+-v] | u'+-v' |
d/dx[uv] | uv'+vu' |
d/dx[u/v] | vu'-uv'/v2 |
d/dx[c] | 0 |
d/dx[uN] | nuN-1u' |
d/dx[x] | 1 |
d/dx[|u|] | u/|u|(u') |
d/dx[lnu] | u'/u |
d/dx[eU] | eUu' |
d/dx[logau] | u'/(lna)u |
d/dx[aU] | (lna)aUu' |
d/dx[sinu] | (cosu)u' |
d/dx[cosu] | -(sinu)u' |
d/dx[tanu] | (secu)2u' |
d/dx[cotu] | -(cscu)2u' |
d/dx[secu] | (secutanu)u' |
d/dx[cscu] | -(cscucotu)u' |
d/dx[arcsinu] | u/1/2(1-u2) |
d/dx[arccosu] | -u'/1/2(1-u2) |
d/dx[arctanu] | u'/(1+u2) |