Math Exam 2 Rules and Derivatives

a^x

a * ln(a)

e^x

e^x

e^(nx)

e^(nx) * n

Sin(x)

cos(x)

Cos(x)

-sin(x)

Tan(x)

sec^2(x)

Cot(x)

-csc^2(x)

Sec(x)

sec(x)tan(x)

Csc(x)

-csc(x)cot(x)

(logB(x))

1/ln(B)x

ln(x)

1/x

logB(f(x))

f'(x)/ln(B)f(x)

arcsinX

1/sqrt(1-x^2)

arccosX

-1/sqrt(1-x^2)

arctanx

1/1+x^2

arccotx

-1/1+x^2

arcsecx

1/|x|sqrt(x^2-1)

arccscx

-1/|x|sqrt(x^2-1)