calc A trig derivative formulas

d/dx (a^u)

= a^u ⋅ ln(a) ⋅du

d/dx log_a(u)

= [du] / [u ⋅ ln(a)]

d/dx sin(u)

= cos(u) ⋅ du

d/dx cos(u)

= -sin(u) ⋅ du

d/dx tan(u)

= sec²(u) ⋅ du

d/dx cot(u)

= -csc²(u) ⋅ du

d/dx sec(u)

= sec(u) ⋅ tan(u) ⋅ du

d/dx csc(u)

= -csc(u) ⋅ cot(u) ⋅ du

d/dx arcsin(u)

= [du] / [√(1-u²)]

d/dx arccos(u)

= -[du] / [√(1-u²)]

d/dx arctan(u)

= [du] / [u²+1]

d/dx arccot(u)

= -[du] / [u²+1]

d/dx arcsec(u)

= [du] / [u√(u²-1)]

d/dx arccsc(u)

= -[du] / [u√(u²-1)]

if the trig function starts with co-,

the derivative is negative

tan(u) is with

sec(u)

cot(u) is with

csc(u)

derivatives of tan(u) and cot(u) are always…

squared

how many terms are in the derivative of sec(u) and csc(u)?

3 terms