Calculus 1 - Derivatives
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- เผยแพร่เมื่อ 23 ก.ค. 2024
- This calculus 1 video tutorial provides a basic introduction into derivatives.
Full 1 Hour 35 Minute Video: / mathsciencetutor
Direct Link to Full Video:
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Full 1 Hour 35 Minute Video:
• Calculus 1 - Derivativ...
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Here is a list of topics:
1. The Power Rule For Derivatives
2. The Constant Multiple Rule
3. The Limit Definition of Derivatives
4. How To Find The Slope of the Tangent Line
5. Derivatives of Polynomial Functions
6. Derivatives of Rational Functions
7. Derivatives of Square Root Functions
8. Differentiating Radical Functions
9. Derivatives of Trigonometric Functions
10. The Product Rule For Derivatives
11. The Quotient Rule For Derivatives
Full 1 Hour 35 Minute Video: www.patreon.com/MathScienceTutor
Direct Link to Full Video: bit.ly/3TQg9Xz
thanks for practically saving my grade in every stem subject :)
Hey the one reading this can you help me at a simple doubt? At 49:16 the derivative of "-9" is 0 but at 46:11 the derivative of "-5" is just negative 5. Why?
Edit (20hrs after my comment) - it was a error on my side. There was a "x" in - 5 one and hence power rule applies. Error on my side not the teacher's. Sorry for any inconvenience
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I have the standard calc 1 textbook (Stewart's 8th edition) and its amazing. I havent seen any mistakes in there yet.
1:25 power rule
3:51 constant multiple rule
8:54 limit definition
13:10 slope of tangent line
20:32 derivative of polynomials
26:24 derivative of rational functions
30:46 derivative of square root functions
41:08 derivative of trigonometric functions
42:50 product rule
49:40 quotient rule
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Derivative of Trigonometry :
Sin = cos
Cos = -sin
Sec = sec.tan
Cosec = -cosec.cotan
Tan = sec²
Cot = -cosec²
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@14:15 I just want to point something out. He said the difference between a tangent line and a secant line is that the secant line hits the function at two point and the tangent hits at one point. This is somewhat true, but just know that a tangent line can also hit a function at two (or even many!) points. Many functions are crazy, wavy, windy things and your tangent lines might cross over many parts, but they are tangent TO THAT ONE POINT as opposed to being derived by connecting two points.
Thank you
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I'm studying derivatives now for my pre-cal. this is a huge help. Thank you so much!!
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Professor Organic Chemistry Tutor, thank you for an outstanding video/lecture on Derivatives in Calculus One. Derivatives is a very important topic in all of Calculus. Many courses in Science and Engineering uses Derivatives. Derivatives is defined as the rate of change. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
I haven't done derivatives since graduating college (around 2 decades ago), I even hardly remember what it is used for. Watching this video refreshed and unearthed those buried memories and started to appreciate what it is for. Thank you.
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I'm currently in a Calculus class. All the examples my professor makes require the use of algebra in between to then make this, and sincerely it's fine but it just confuses me, that makes that it so I can't focus on learning the basic of what we are doing first because I get easly distracted by the other things in between, so thank you for making this straight to the point, really really helpful! I have been doing terribly in my class because of that, I hope now I can improve my grades.
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This is probably the best explanation of derivatives I’ve heard to date. Well done!!
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I haven't even started precalc and this man is making derivatives understandable
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remember
d/dx f(x)= f`(x)*x`
d/dx sin(x)=cos(x)*x`
same with the rest of the trigonometric functions
d/dx (f(x))^n = n(f(x))^(n-1) *(f`(x)) * x`
^ means power
* means multiplication
` means derivative
definitely making me understand the derivatives.Thank you so much for the repetition to make sure it's down packed
this is a lot more easier than my prof. great examples that I can practice on. Thank you, Sir!
omg thank you so much that explain it so clear
Please Make A Video Of The Application Of The Left Hand Derivatives And The Right Hand Derivatives... Thank You Very Much
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학생들의 수업을 준비하면서 많은 자료들을 찾아 보곤 합니다. 어떻게 하면 더 쉽게 설명할 수 있을까? 특히 미분이라는 개념을 직관적으로 와닿기 하기 위해서 어떤 방법을 쓸까 고민했었는데 이 영상에서 그 방법을 잘 소개해 준 것 같습니다.
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