Unit 3

Question 1

y’(e^x)

Answer 1

e^x

Question 2

y’(a^x)

Answer 2

a^x(lna)

Question 3

y’(lnx)

Answer 3

1/x

Question 4

y’(log base a of x)

Answer 4

1/xlna

Question 5

y’(e^u)

Answer 5

e^u(u’)

Question 6

y’(a^u)

Answer 6

a^u(lna)u’

Question 7

y’(ln(u))

Answer 7

u’/u

Question 8

y’(log base a of u)

Answer 8

(1/ulna)u’

Question 9

y’(arcsinx)

Answer 9

1 over the sq rt of (1-x^2)

Question 10

y’(arctanx)

Answer 10

1/(1+x^2)

Question 11

y’(arcsinu)

Answer 11

u’ over the sq rt of (1-u^2)

Question 12

y’(arctanu)

Answer 12

u’/(1+u^2)