ap calc -- trig function/inverse trig function derivatives

(d/dx)sin(u)

cos(u)(du/dx)

(d/dx)cos(u)

-sin(u)(du/dx)

(d/dx)tan(u)

sec²(u)(du/dx)

(d/dx)sec(u)

sec(u)tan(u)(du/dx)

(d/dx)csc(u)

-csc(u)cot(u)(du/dx)

(d/dx)cot(u)

-csc²(u)(du/dx)

(d/dx)e^u

e^u(du/dx)

(d/dx)a^u

a^uln(a)(du/dx)

(d/dx)lnu

(1/u)(du/dx)

(d/dx)log_au

(1/u)ln(a)(du/dx)

(d/dx)sin^-1u

1/(√1-u²)(du/dx)

(d/dx)cos^-1u

-1/(√1-u²)(du/dx)

(d/dx)tan^-1u

1/(1+u²)(du/dx)

(d/dx)sec^-1u

[1/|u|√(u²-1)](du/dux)

(d/dx)csc^-1u

[-1/|u|√(u²-1)](du/dux)

(d/dx)cot^-1u

-1/1+u²(du/dx)