AP Calc AB derivatives (all needed)

power rule

f’ = (n)x^n-1

product rule

f’*g’ = (g)(f’) + (g’)(f)

quotient rule

f/g = ( (g)(f’) - (f)(g’) ) / (g²)

chain rule

f(g)’ = f’(g) * g’

d/dx e^x

e^x

d/dx a^x

a^x *ln(a)

d/dx ln(x)

1/x

d/dx log_a x

1/ x*ln(a)

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec²(x)

d/dx csc(x)

-cos(x)cot(x)

d/dx sec(x)

sec(x)tan(x)

d/dx cot(x)

-csc²(x)

d/dx sin^-1(x)

d/dx cos^-1(x)

d/dx tan^-1(x)

d/dx csc^-1(x)

d/dx sec^-1(x)

d/dx cot^-1(x)