Derivatives for Beginners - Basic Introduction
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- čas přidán 26. 07. 2020
- This calculus video tutorial provides a basic introduction into derivatives for beginners. Here is a list of topics:
Derivatives - Fast Review: • Calculus 1 - Derivatives
Limit Definition of the Derivative:
• Definition of the Deri...
Derivatives - Alternate Limit Definition:
• Alternate Form of The ...
Derivatives - The Constant Rule:
• The Constant Rule For ...
Derivatives - The Power Rule:
• The Power Rule For Der...
_________________________________
Derivatives - Constant Multiple Rule:
• The Constant Multiple ...
Derivatives - Polynomial Functions:
• Derivatives of Polynom...
Derivatives - Sine and Cosine:
• Derivative of Sine and...
Derivatives - Trigonometric Functions:
• Derivatives of Trigono...
Derivatives - Limits:
• Limits and Derivatives
_______________________________________
Equation of the Tangent Line:
• How To Find The Equati...
Derivatives - Horizontal Tangent Line:
• How to Find The Point ...
The Equation of The Normal Line:
• How To Find The Equati...
The Equation of The Secant Line:
• How To Find The Equati...
Average and Instantaneous Velocity:
• Average Velocity and I...
_______________________________________
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Thanks
Thank you so much!
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Math daddy
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Correct
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By far the best Calc video I've found, I'm finally understanding the foundation for derivatives for my test in 2 days. Thank you so much.
I hope you aced the test.
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I learnt derivatives of one semester in an hour. Thanks a lot. I will ace the tests.
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I needed a refresher on exponentials so I’m so happy you posted this. Also huge thank you for adding time stamps, you’re a life saver 🙌🏼
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Thank you for making this. I was faced with a problem in my Cost Estimating class that required a derivative to solve. The book assumed we already knew derivatives and how to apply them to solve the problems in this chapter, quite literally going, "And you just use a derivative to solve. Remember? Like you did in calculus," before moving on. This has been a life saver both from me failing my homework and from the heart attack I probably would've had malding over this assignment asking for skills the class never taught me.
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Question tho, what does d/dx translate to in the equation 6x^8? Is it just to notate that we need to find the derivative? Or does it relate the same way y= mx +b would relate to y= 3x+15?
*edit: Never mind he answers this at 4:08 it is just a notation to say “find the derivative of-”
thanks lmfao I missed that part somehow.
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This is very clear! I love the thorough examples! I haven't touched derivatives since 1998! I don't even think I understood this back then!
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My high school physics teacher was explaining velocity, speed, and acceleration and how acceleration describes the change in speed. I kept asking him about the "change in the rate of acceleration" and he said something like "change in acceleration is called jerk, then change in jerk is called snap, then it's crackle and pop, but what you're asking about are called derivatives and you'll learn that in calculus." Now I'm here and it's all making sense.
Graphing these as you go is helping me A TON. I'm seeing that the Y axis in the derivative function graph shows the slope of the curve in that X location of the original function's graph. The derivative of a constant is 0 because it does not change based on X and therefore has no effect on slope. Derivative of X is 1 because X has a 1:1 change relationship with itself. The whole point is to "flatten" everything by subtracting a power of 1, so that we can get a "more linear" or "less parabolic" perspective on what is happening to the curve as X changes. We are not describing the results of an equation, instead we are concentrating the behavior of the equation into another more concise equation.
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