This week in AP Calc we started working with exponential decay and such. This helps us figure out half life and the weight gain of a bird over its lifetime. I think that I should start doing the homework more diligently because AP Calc is starting to become a lot more complicated.
When anti-deriving, ln and e are becoming a lot more useful than what I ever thought they would be. The fact that the anti derivative of e^x is e^x is comforting because it is a moment in the process of doing a problem where it is easy.
Some of the things that I struggle with now is thinking exactly what "dx" or "dy" is. What does it mean to multiply the right side of the equation by "respect to x"? It makes sense in an organizational sense sometimes, but it can become hard to visualize what the equation I'm working with is doing when things get more complicated.
Maybe the easier way to think of it is like this: say you have an equation y=x^2, find the derivative, dy=2xdx. Then you're simply cleaning up the right side of the equation by dividing by dx. dy/dx=2x.
Anyways, another thing that I brushed up on this week was exponent rules such as e^2x+ln5=(e^2x)(e^ln5) which simplifies to 5e^2x. That is pretty helpful sometimes.
The AP test questions we did weren't that hard, just grasping what I have to do and doing it can be difficult sometimes. I may be doing my processes right, but what I end up finding as my "answer" is not what they were looking for at all.
When anti-deriving, ln and e are becoming a lot more useful than what I ever thought they would be. The fact that the anti derivative of e^x is e^x is comforting because it is a moment in the process of doing a problem where it is easy.
Some of the things that I struggle with now is thinking exactly what "dx" or "dy" is. What does it mean to multiply the right side of the equation by "respect to x"? It makes sense in an organizational sense sometimes, but it can become hard to visualize what the equation I'm working with is doing when things get more complicated.
Maybe the easier way to think of it is like this: say you have an equation y=x^2, find the derivative, dy=2xdx. Then you're simply cleaning up the right side of the equation by dividing by dx. dy/dx=2x.
Anyways, another thing that I brushed up on this week was exponent rules such as e^2x+ln5=(e^2x)(e^ln5) which simplifies to 5e^2x. That is pretty helpful sometimes.
The AP test questions we did weren't that hard, just grasping what I have to do and doing it can be difficult sometimes. I may be doing my processes right, but what I end up finding as my "answer" is not what they were looking for at all.