Week 4, Day 8

Question 1

product rule

Answer 1

f(x) = u(x) • v(x) f’(x) = u’(x) • v(x) + u(x) • v’(x)

Question 2

quotient rule

Answer 2

f(x) = u(x) / v(x) f’(x) = v(x) • u’(x) - u(x) • v’(x) / (v (x) )²

Question 3

quotient rule mnemonic

Answer 3

lo • Dhi - hi • Dlo over lo lo

Question 4

chain rule

Answer 4

h(x) = f (g (x) ) h’(x) = f’ (g (x)) • g’(x)