Derivatives (Ch. 3)

sinx

cosx

cosx

-sinx

tanx

sec²x

secx

secxtanx

cscx

-cscxcotx

cotx

-csc²x

sin^-1x

1/√(1-x²)

cos^-1x

-1/√(1-x²)

tan^-1x

1/(1+x²)

sec^-1x

1/(|x|√(x²-1))

csc^-1x

-1/(|x|√(x²-1))

cot^-1x

-1/(1+x²)

d/dx a^u

a^u * ln(a) * du/dx

d/dx log_au

1/uln(a) * du/dx

d/dx e^u

e^u * du/dx

d/dx ln(u)

1/u * du/dx