This past week in calculus we took our first nine weeks exam. This took place on Wednesday and Thursday. Then we started to learn about implicit derivatives. This is not difficult at all as long as you remember how to take a derivative.
The steps to taking an implicit derivative are
1. Take the derivative of both sides as if you were just taking a regular derivative.
2. Note everytime you take the derivative of a y with dy/dx or y'
3. Solve for dy/dx by bringing it to one side and solving for it as it were an x.
Implicit derivatives can have similar questions to regular derivatives such as what is the slope of the equation or tangent line. If the problem asks for slope or tangent line and slope is needed but a point is not given but an x is, all you do is plug in the x given into the derivative to give you your x.
Also I learned that optimization is not as hard as I thought it was. Once I got a little help I started to understand it. And also I learned if you are looking for the dimensions of a rectangle to maximize the area it will be a square.
The only thing that confuses me is something like the last one we did together in class on Friday that we did not finish. When ever it gets complex like that it loses me and I just lose where im at.
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