Uploaded by Unathi Maxaulane

W11Worksheet3 (1)

advertisement
Week 11:
Topic 3 Worksheet:/Onderwerp 3 Werkblad:
• The natural logarithm/Die natuurlike logaritme
Do not use a calculator! / Moenie ’n sakrekenaar!
1. Write the following down in terms of ln(p) (p a prime number)/ Skryf die volgende in
terme van ln(p) (p ’n priemgetal)
!
9
ln
√5
88
2. Determine Df if /Bepaal Df as
f (x) =
1
ln(7 − |x + 3|)
dy
dy
3. Determine dx
/ Bepaal dx
y = ln x10 + x8 cos x
dy
dy
4. Use logarithmic differentiation to determine dx
/ Gebruik logaritmiese differensiasie om dx
te bepaal.
(x3 + cos x)7
y= √
5
x2 + x
5. Determine /Bepaal
Z e
1
1
dx
x + x ln x
Download