ab calc derivatives (sem 1 final)

[includes inverse trig derivatives!]

sinx

sinx

cosx

secx

secxtanx

tanx

sec²x

lnx

1/x

log_bx

1/(lnb)x

cosx

-sinx

cscx

-csccotx

cotx

-csc²x

e^x

e^x

a^x

a^xln(a)

sin^-1(x)

1/sqrt(1-f(x)²) f^’(x)

cos^-1(x)

-1/sqrt(1-f(x)²) f^’(x)

tan^-1(x)

1/sqrt(1+f(x)²) f^’(x)

cot^-1(x)

-1/sqrt(1+f(x)²) f^’(x)

sec^-1(x)

1/ lf(x)l sqrt (f(x)²-1) f^’(x)

csc^-1(x)

-1/ lf(x)l sqrt (f(x)²-1) f^’(x)