AP CALC BC

oc

d/dx sin(x)

= cos(x)

d/dx cos(x)

= -sin(x)

d/dx tan(x)

= sec²(x)

d/dx cot(x)

= -csc²(x)

d/dx sec(x)

= sec(x)tan(x)

d/dx = csc(x)

= -csc(x)cot(x)

d/dx f(x)g(x)

= f’(x)g(x)+f(x)g’(x)

f(x)/g(x)

= f’(x)g(x) - f(x)g’(x) / [(g(x)]²

Remeber facts

f prime is always first

co- for trig functions always are negative

lim x→0 ((sin/x)/x) =

=1

lim x →0 (cos(x-1)/x)

= 0

d/dx sin^-1 and cos^ -1

d/dx tan^-1 and cot^-1

d/dx sec^-1 and csc^-1

d/dx a^u

d/dx log base a (u)