Log Rules

Question 1

Derive

f(x) = 4^x

Answer 1

f’(x) = (ln4)(4^x)

Question 2

Derive

y = log (base a)^x

Answer 2

y’ = (1/lna)(1/x)

Question 3

Derive

y = e^u

Answer 3

y’ = (u’)(e^u)

Question 4

Derive

y = ln(u)

Answer 4

y’ = u’/u