Studied by 101 peopled/dx (au)
= au ⋅ ln(a) ⋅du
d/dx loga(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
Note
Flashcard