Calculus!

cosx

cosx

derivative of sinx

-sinx

derivative of cosx

sec^2x

derivative of tanx

-cscxcotx

derivative of cscx

secxtanx

derivative of secx

-csc^2x

derivative of cotx

1/√(1-u^2) du/dx

derivative of sin^-1 u

-1/√(1-u^2) du/dx

derivative of cos^-1u

1/(1+u^2) du/dx

derivative of tan^-1u

derivative of csc^-1u

-1/(|u|√u^2-1) du/dx

derivative of csc^-1u

1/(|u|√u^2-1) du/dx

derivative of sec^-1u

1/(1+u^2) du/dx

derivative of tan^-1u

f(g(x))=x

inverses

f1(g(x))g1(x)=1

inverses so…

(e^u)(du/dx)

d/dx of e^u

(1/u)(du/dx)

d/dx of ln(u)

(a^u)(lna)(du/dx)

d/dx of a^u

(1/ulna)(du/dx)

d/dx of log_a^u