Log and Ln Rules

Question 1

y = e^x, y = e^u

Answer 1

y’ = e^x, y’ = e^u (u’)

Question 2

y = b^x, y = b^u

Answer 2

y’ = (ln(b)) (b^x), y’ = (ln(b)) (b^u) (u’)

Question 3

y = ln u

Answer 3

y’ = u’/u

Question 4

y = log b u

Answer 4

y’ = u’/ u lnb