You are so much help, just wanted you to know that you are helping thousands of people everyday, you are awesome.
@ThelmaNgoma
6 ай бұрын
Thanks alot for the video i thought you are someone from a different country kansi u are a Zambian, continue with the good work 👏 🙌
@renesperb
7 ай бұрын
I have used first principles for x^n , ln x, cos x, sin x . the derivatives of all other elementary functions can then be calculated using the product rule and the chain rule alone . Even arbitrary powers x^p (p real ) can be calculated in this way if only the derivative of f(x) = x is known.
@johnmulewa543
Жыл бұрын
Well explained and I've now understand clearly sir...
@mb.4812
Ай бұрын
you seriously saved me thank you! 🙏🏾
@malekthiek2092
2 жыл бұрын
much appreciated but may I please have more examples about first principle In differentiation
@edosacollins39
8 ай бұрын
WOW🎉 Simple and straight forward Thanks sir
@metalfingerz4203
2 жыл бұрын
what a neat writing!
@renesperb
8 ай бұрын
I have seen many videos in which the derivative of some function is derived from first principles . I don't think that this is the way to calculate derivatives . If you know linearity and the product rule you can get e.g. the derivative of any function containing (positive or negative ) powers of x. Assume you know that x' =1 (this is trivial indeed ) .Then , (x^2 ) ' = (x * x )' = 2*x ' *x = 2 x. Another example : f(x) =√x . We may now use that (f[x] *f[x]) ' = 1 = 2*f[x] ' f[x] -> f[x] ' =1 / (2 √x ) . The quotient rule can be derived with this same trick , and you can get a list of derivatives with this procedure.
@moeberry8226
7 ай бұрын
Your wrong that is exactly the way to calculate derivatives, doing it your way doesn’t show conceptually what a derivative is. Remember the derivative is the slope of the tangent line at any point. Using the difference quotient shows people who are new to calculus that this is merely rise over run which is slope which people have been learning since grade school. The only difference is the modification of h approaching 0 which makes the secant line shorter and shorter until it becomes a tangent line which gives the slope at that exact point.
@renesperb
7 ай бұрын
@@moeberry8226 I can assure you that I know exactly what a derivative is. I have taught calculus at the university - level for many years .
@moeberry8226
7 ай бұрын
@@renesperb I didn’t say you didn’t know what a derivative is. I’m saying that this is the way to calculate using the difference quotient because that’s how a derivative is defined. Your method is easier to get to the solution faster, however first principals is how we got started.
@YeahMathIsBoring
4 ай бұрын
@@moeberry8226Well said!
@danielidowu876
2 ай бұрын
I really understand it better ❤
@ahmadfarouk7343
7 ай бұрын
Keep up the good work 👍
@unspokentalentthemisfits5374
7 ай бұрын
Frankly speaking what's the point of this kind of differentiating
@aslemkhama6463
Жыл бұрын
Very good explanation
@mosesphiri5683
2 жыл бұрын
Where is the formula
@IbrahimMambu-b6f
8 ай бұрын
Looking good
@abdulkadirmuhammad305
Жыл бұрын
Sir I have a problem I can't solve
@AdrishSarkar-xr5xi
5 ай бұрын
Well why to do that in such a long solution manner I did that just in my mind that as well in 5 seconds
@ThomasMunembome
3 ай бұрын
Where is the link
@RehanAnsari-yi8sy
Күн бұрын
It's pilot V7 pen u can purchase the ink in stationery shop
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