Derivative Formulas Study Guide

Front

d/dx [loga u]

Back

1/ (lna) u * u’

Front

d/dx [c]

Back

0

Front

d/dx [arcsin u]

Back

u’ / √1-u^2

Front

d/dx [arccsc u]

Back

-u’ /|u|√u²-1

Answer explanation

Front

d/dx [u+v]

Back

u’ + v’

Front

d/dx [u^n]

Back

nu^(n-1) * u'

Front

d/dx [cot u]

Back

-csc^2u * u'

Front

d/dx [arccos u]

Back

-1/sqrt(1-u^2) * u'

Front

d/dx [e^u]

Back

e^u * u'

Front

d/dx [u/v]

Back

(v du - u dv) / v^2