Derivatives and Antiderivatives

Mrs. Shock AP Calculus AB

d/dx (tan(x))

sec²x

d/dx (csc(x))

-cscxcotx

d/dx (sec(x))

secxtanx

d/dx (cot(x))

-csc²x

d/dx (sin^-1(x))

1/√(1-x²)

d/dx (sin^-1(x))

1/1+x²

∫ tan (x) dx

- ln |cosx| + C

∫ sec (x) dx

ln |secx + tanx| + C

∫ csc (x) dx

- ln |cscx + cotx| +C

∫ cot (x) dx

ln |sinx| + C

∫ sec² (x) dx

tan x + C

∫ csc² (x) dx

-cotx + C

∫ sec(x)tan(x) dx

secx + C

∫ csc(x)cot(x) dx

-cscx + C

Exponential Growth or Decay

y = Ae^kt A = starting value