Calculus AB/BC derivatives and integrals

Calculus

d/dx[xⁿ]

nx^n-1

d/dx[e^x]

e^x

d/dx[ln(x)]

1/x

d/dx[log_ax]

(1/ln(a)) * (1/x)

d/dx[|x|]

x/|x|

d/dx[uⁿ]

nu^n-1 * u’

d/dx[e^u]

e^u * u’

d/dx[ln(u)]

1/u * u'

d/dx[log_au]

(1/ln(a)) * (1/u) * u’

d/dx[|u|]

(u/|u|) * u'

d/dx[sinx]

cosx

d/dx[cosx]

-sinx

d/dx[tanx]

sec²x

d/dx[cscx]

-cscx * cotx

d/dx[secx]

secx * tanx

d/dx[cotx]

-csc²x

d/dx[sin^-1x]

1/√(1-x²)

d/dx[cos^-1x]

-1/√(1-x²)

d/dx[tan^-1x]

1/(1+x²)

d/dx[csc^-1x]

-1/[|x|√(x²-1)]

d/dx[sec^-1x]

1/[|x|√(x²-1)]

d/dx[cot^-1x]

-1/(1+x²)

d/dx[c]

0

d/dx[x]

1

d/dx[u*v]

u’ * v + u * v’

d/dx[u/v]

(u’ * v - u * v’)/v²