AP CALC Trig identities UNIT 2

Derivative of: Sin(x)

Cos(x)

Derivative of: Cos(x)

-Sin(x)

Derivative of: Tan(x)

Sec²(x)

Derivative of: Sec(x)

Sec(x)*Tan(x)

Derivative of: Cot(x)

-Csc²(x)

Derivative of: Csc(x)

-Csc(x)*Cot(x)

Derivative of: e^x

e^x

Derivative of: ln(x)

1/x

Product Rule

A’B+B’A

Quotient Rule

(lo D hi - hi D lo ) / (lo)²

(CHAIN RULE) Derivative of: e^u

e^u * u’

(CHAIN RULE) Derivative of: ln(u)

u’/u

Derivative of arcsin(x)

1/√(1-x²)

Derivative of arccos(x)

-1/√(1-x²)

Derivative of arctan(x)

1/(1+x²)

Derivative of arccot(x)

-1/(1+x²)

Derivative of arcsec(x)

1/(|x|√(x²-1))

Derivative of arccsc(x)

-1/(|x|√(x²-1))

Derivative of arcsin(u)

u'/√(1-u²)

Derivative of arccos(u)

-u'/√(1-u²)

Derivative of arctan(u)

u'/(1+u²)

Derivative of arccot(u)

-u'/(1+u²)

Derivative of arcsec(u)

u'/(|u|√(u²-1))

Derivative of arccsc(u)

-u'/(|u|√(u²-1))