Derivatives of

e^x and e^kx

• e^x

• k * e^kx

ln(x) and ln(kx) and ln(u)

• 1/x

• 1/x

• (1/u) * u'

sin(x) and cos(x)

• cos(x)

• -sin(x)

sin(kx) and cos(kx)

• k * cos(kx)

• k * -sin(kx)

sin(u) and cos(u)

• cos(u) * u’

• -sin(u) * u’

product rule

(f(x)g(x))’ = (f’)(g) + (f)(g’)

quotient rule

(f(x)/g(x))’ = ((f’)(g) - (f)(g’))/(g²)

e^x

e^x

e^u

e^u * u’

a^x

a^x * ln(a)

a^u

a^u * ln(a) * u’

log_ax

1/(x * ln(a))

log_au