AP Calc BC derivative rules

f(x)= #

f’(x)= 0

f(x)= mx+b

f’(x)= m

f(x)= x^n

f’(x)= nx^-1

f(x)= k * g(x)

f’(x)= k * g’(x)

f(x)= g(x) + h(x)

f’(x)= g’(x) + h’(x)

f(x)= g(x) - h(x)

f’(x)= g’(x) - h’(x)

f(x)= sinx

f’(x)= cosx

f(x)= cosx

f’(x)= -sinx

f(x)= tanx

f’(x)= sec²x

f(x)= cscx

f’(x)= -cscx * cotx

f(x)= secx

f’(x)= secx * tanx

f(x)= cotx

f’(x)= -csc²x

f(x)= e^x

f’(x)= e^x

f(x)= a^x

f’(x)= a^x *lna

f(x) = log base a of x

f’(x)= 1/(x*lna)

f(x)= lnx

f’(x)= 1/x

product rule

1st d2nd + 2nd * d1st

quotient rule

(low * dhigh - high * dlow)/denominator²