Calc 2 Revision

Derivatives, Anti-derivatives, and trig identities

Derivative of sinx

cosx

Derivative of cosx

-sinx

Derivative of tanx

sec²x

Derivative of cotx

-csc²x

Derivative of secx

secx tanx

Derivative of cscx

-cscx cotx

Derivative of arcsinx

1/ √1-x²

Derivative of arccos

-1/ √1-x²

Derivative of arctanx

1/1+x²

Derivative of arcotx

-1/1+x²

Derivative of arcsec

1/ lxl√x²-1

Derivative of arccsc

-1/ lxl√x²-1

Derivative of e^x

e^x

Derivative of a^x

a^x lna

Derivative of lnx

1/x

Derivative of log_ax

1/x lna

Antiderivative of 1/x

ln lxl + C

Antiderivative of e^x

e^x+C

Antiderivative of a^x

a^x/lna + C

Antiderivative of sinx

-cosx+C

Antiderivative of cosx

sinx + C

Antiderivative of sec²x

tanx + C

Antiderivative of csc²x

-cotx + C

Antiderivative of secx tanx

secx + C

Antiderivative of cscx cotx

-cscx + C

Antiderivative of tanx

-ln l cosx l + C

Antiderivative of cotx

ln l sinx l + C

Antiderivative of secx

ln secx + tanx + C

Antiderivative of cscx

ln (cscx - cotx) + C

Antiderivative of 1/a³+ x²

1/a arctan x/a + C

tanx

1/ cotx

cscx

1/ sinx

sec x

1/ cosx

cot x

1/ tanx

tan y

sin y / cos y

cot y

cos y / sin y

sin² x =

1 - cos²x

cos²x =

1 - sin²x

1 + tan²x

sec^x

sec²x - 1

tan²x

1 + cot²x

csc²x

csc²x - 1

cot²x