Post #20

Well hello everyone! I hope yall Christmas went well and wish yall a Happy New Year starting tomorrow! Don't go out and party too much tonight .. have fun and stay safe, I'll see yall Monday.
So since we're doing blogs with nothing new to restate I'm gonna go over the first things we learned in Calculus this year.

Derivatives - There were thirty-six formulas that we copied down in order to help us. These formulas help a lot once you understand the concept. For instance, if you want to take the derivative of ANY number, it will ALWAYS be zero. However, anything with an exponet will have a derivative by multipling the exponet with the number in front of the variable. Once you multiply that, your answer will take the place of the number in front of the variable. But, you're not done yet! Take the exponet and subtract one. Your answer will take the place of the exponet. Then you solve. Remember, though, that if you have a negative exponet you have to put it at the bottom of a fraction in order for it to become positive. [You can't have a negitive exponet!]
Product Rule - For the product rule, you must have multiplication. You will keep the first part of the problem and multiply it by the derivative of the second part, and then add the second part of the formula, which is to keep the second part of the problem and multiply it by the derivative of the first. You'll solve and that's your answer.
Quotient Rule - For the quotient rule you have a fraction. You take the bottom and then multiply it by the derivative of the top then you'll sbtract the top multiplied by the derivative of the bottom. This will all be over the bottom squared. Then you solve, and that's your answer.
Average Velocity - Average velocity is when you take the derivative of your problem and plug in the two numbers from the problem. Then you'll take the answer of t1 and t2 in order to subtract t1 from t2. After, you will divide it by the numbers they gave you for t1 and t2, so you'll do...t2 minus t1 from the problem not the answer you get when you plug them into the problem then solve for your answer.
Instantaneous Velocity - Instantaneous velocity is when you take the derivative of the problem and put in the one number they give you. What you get is your answer!
DON'T EVER FORGET THE TRIG CHART EITHER!

Well yall stay safe and have a good time for the rest of our break. See yall soon!
~ElliE~