Pregnancy and Parenting Tips: Solving Breast Feeding Problems

    Breastfeeding

    Solving breast feeding problems can be a real trial which you can get through if you are prepared for the it. Breastfeeding is the natural way to feed your child, and the healthiest choice as well. Breastfeeding doesn’t cost any money, there are no bottles to heat and clean and baby can feed at a moment’s notice. Not to mention all of the information that tells about the natural bonding that takes place between a mother and her nursing infant.

    Many women fail at breastfeeding because their picture perfect idea of it is ruined in a rude awakening in the beginning stages of breastfeeding. Breastfeeding can be painful, frustrating and just plain tough in the beginning and well-meaning relatives can put on guilt by wondering if your baby is getting enough to eat, discouraging you from continuing this virtual ride through torture and giving in to formula! Remember your maternity pillow that you have used during your pregnancy? You can use it again while your nursing and breastfeeding your cute little baby.

    Though breastfeeding is not for everyone, it can help to know that the first two months are not going to be the fairy tale fantasy that is portrayed by peaceful pictures of women and their breastfeeding babies. It is also helpful to know that after these first two months, it really will be this way and you will forget all about this period that is best forgotten!

    In the beginning of your breastfeeding career you will go through the frustration of not being able to get your baby latched on, sore and even bleeding nipples, breasts so large and painful that you can not even bear to wear a top and comments from doubters that your baby is always hungry. It is important to shore up during this time and remember that what you are doing is best for your baby and you will make it through to sunnier shores before too long.

    It takes a good deal of time for your nipples to toughen up and you will basically have to bite the bullet until then. When you look down at your beautiful baby it will seem worth it. When a baby is just born, it will seem to want to eat every 2 hours. Of course, formula can make him wait longer, but only because it is more filling, not because it is more nutritious. Feeding the baby as often as he wants really helps build up your milk supply and once it gets going, you will be producing more and more, enough to help him make it for 3 hours! Babies go through spurts where they seem to be so hungry they can’t get enough, and then they will calm down.

    This is the baby telling your body he needs more milk, and he will get it if you continue to nurse on demand. It may seem painful and frustrating in the beginning, but if you stick with it, you will see the light on the other end of the tunnel before too long. Don’t feel like you are the only mother who ever had trouble breastfeeding, just because it is natural doesn’t mean it is easy! When you get advice from friends and family, thank them and then let the comments go out the other ear.

    Advice is the number one enemy of breastfeeding mothers. If you feel you need some advice, contact your local La Leche League, they will even have someone come to your house to provide instruction or assistance and are always happy to answer any questions you might have about breastfeeding.

    Product Rule and Power Rule Derivatives

    numbers

    Today at online calculus we are going to be checking out two of the most important differentiation rules, the product rule and the power rule. Up until now we have only seen very basic differentiation rules, like the power and exponential rules. It is now time to learn a more complicated rule for differentiating the product or two functions. Keep in mind that you need good graphing calculator for this. You can read the review of the new graphing calculator TI-84 Plus CE from Texas Instruments.

    Product Rule Derivatives

    There are simple rules for taking the derivative of a sum or difference of two functions (the sum and difference rules), but it is slightly more complicated when it comes to multiplication and division. If we want to find the derivative of a functions that consists of two other function multiplied together, we cannot simply take the derivative of each function in the product and multiply them together afterwards.

    This will give a different (and wrong) result. In simple language, the product rule is; the derivative of the first times the second, plus the derivative of the second times the first. So if we have two functions, f(x) and g(x) then;[f(x)g(x)]’= f’(x)g(x) + g’(x)f(x). It is an important rule to memorize as you will be using it a lot in the future.

    For example, someone asks us to find the derivative of the function y = x^2 * e^x. We need to use the product rule to solve this. We will break the problem down into steps to make it easy for ourselves. First, we find the derivative of the first term (x^2) to be 2x using the power rule. We also know the derivative of the second (e^x) is simply e^x (this is that important rule from the previous section).

    So now we take these terms and put them into the product rule.y’ = 2x * e^x + e^x * x^2We can factor this answer but it is not necessary. This is a perfectly acceptable final answer. The product rule is not difficult to use if you break it into specific steps. Find the derivative of the first, the second, and the put them into the product rule.

    Power Rule Derivatives

    Using differentiation rules will greatly simplify the process of  finding a derivative. There are many rules to remember so be sure to practice  them often. The first rule to remember is that the derivative of any  constant is simply 0.

    So if you take the derivative of any number without a  variable, the answer will be 0. Why is that? Well recall that the derivative is  the rate of change of the function. A constant does not change. It is simply a  straight line on a graph, so therefore it will have a zero value derivative for  all of x.

    The power rule is one of the most commonly used rules in  differential calculus. The power rule can be written as; (d/dx)x^n=nx^(n-1). It  is a fairly simple procedure, but be sure to practise it. You simply take the  power of x, and bring it in front of x. Then you subtract one from the power of  x.

    For example the derivate of x^2 is simply 2x. The derivative of x^3 is 3x^2.  See the video for a better explanation of the procedure. Again, for example, someone asks us to find the  derivative of f(x)=sqrt(x^3). Before doing anything we want to simplify this  equation and write the function as f(x)=x^1.5. So now by using the power rule,  we bring the 1.5 out front. Then we subtract 1 from the power. So we are left  with f(x)=1.5x^0.5 which is the same as 1.5*sqrt(x).

    If you are having difficulties with these rules, just remember, practice makes perfect!