Common Derivatives (AB Calculus)

derivative of a^x

a^x(ln(a))

derivative of sin(x)

cos(x)

derivative of e^x

e^x

derivative of sec(x)

sec(x)tan(x)

derivative of tan(x)

sec^2(x)

derivative of 1/x

-1/(x^2)

derivative of csc(x)

-csc(x)cot(x)

derivative of cot(x)

-csc^2(x)

derivative of cos(x)

-sin(x)

derivative of x

1

derivative of arctan(x)

1/(1+x^2)

derivative of sqrt(x)

1/(2sqrt(x))

derivative of ln(|x|)

1/x, x!=0

derivative of ln(x)

1/x, x>0