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I took 3 weeks to master differentiation of sin,cos,tan and normal algebra equations and how to apply them to graphs and problem solving such as approx change in delta x and delta y,percentage change in delta x and y and so on.

Am I a slow learner?

2007-03-16 03:45:18 · 0 answers · asked by charlotte 2 in Science & Mathematics Mathematics

Funny, I have a friend who learned differentiation of algebric equations within 2 hrs.

2007-03-16 03:51:03 · update #1

I learned the products,chain and quotient rules and how to differentiate expotential and lon functions.

2007-03-16 04:06:46 · update #2

0 answers

This question has several levels. There is very little to memorize in calculus, but derivatives of the standard functions are one of them:
x^n, sin(x), cos(x), tan(x), sec(x), cot(x), csc(x), e^x, ln(x), the product and quotient rule for differentiation, and the chain rule. These you should eventually know cold (cause if you don't have the mechanics down, they will get in the way of your understanding).

The rub is in applying them - that takes longer. When you have homework, always look for a pattern in the exercises. Usually if you see the pattern quickly, all the rest of the exercises go more quickly. How quickly you become comfortable with the various applications of differentiation can also depend on how it is initially presented to you. It's funny because once you understand the mindset of what it means to differentiate, you will (in the future) dismiss it with one sentence or two, but it can easily take long amounts of time (like months) till the deeper meanings seep through.

In my own case, even though I was always good at the mechanical stuff, I didn't really get an understanding of what I was doing till the night before the AP exam as I was cramming, about 3/4 of the way through the school year.

The upshot: I can't say anything about how fast or slow you are learning, but if after 3 weeks you are comfortable with the mechanics of what you've learned so far, I'd say you're doing pretty well.

2007-03-16 04:03:08 · answer #1 · answered by Quadrillerator 5 · 0 0

I don't think you can compare your learning ability with anyone else, the fact that you learned this stuff at all is impressive. I believe that the longer it takes someone to learn something, the longer they retain it. Not being a mathematician, I wonder though, WHY would someone want to master Calculus??

2007-03-16 03:58:29 · answer #2 · answered by al b 5 · 0 0

I think you did extremely well. I was into my fourth semester of calculus before I really understood what it was all about. then it became simple. (I taught the subject in college later)

I think you will eventually understand that there are only two basic problems in calculus. One of these is finding the slope of a curve and the other is finding the area under the curve.

2007-03-16 04:17:15 · answer #3 · answered by bignose68 4 · 0 0

Charlottte, mastering calculus is easy, if you have a very good understanding of Algebraic equations. That is the secret.

2007-03-16 04:25:28 · answer #4 · answered by seaking 2 · 0 0

a. Cost of t tapes = 24000 + 1.50t This is fixed cost (24000) and variable cost (1.5) b. The domain is the possible t values, which would be t greater than or equal to zero, since you can't make a negative number of something. In the real world, there is a right endpoint to the domain since theoretically speaking, the factory cannot make an unlimited supply of tapes. c. It depends on the available resources d. See part b!

2016-03-20 04:05:18 · answer #5 · answered by Anonymous · 0 0

Everyone has their own pace of learning. You don't have to and should not compare yourself with others. Just follow your own pace.

2007-03-16 03:50:43 · answer #6 · answered by the DoEr 3 · 0 0

No, that is good

learning is different for each person - what is easy for you might be very difficult for another person and vice versa

2007-03-16 03:57:44 · answer #7 · answered by Maverick 7 · 1 0

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