And we could take things a bit farther. We can see the curve is concave downward, so we can infer that the tangent line will always rise above the curve. So dy will be greater than delta-y. If the function were different and concave upward, we would have the opposite. In fact, if we take the second derivative we can find out for any function which way it 'bends' and thus know whether dy or delta-y will be larger. And of course if the function is complicated enough, there may be inflection points where concavity reverses so that would be even more fun. Nice video.
Hello, Just Calculus, day e^e^e wishing you that you can pass calculus Thanks, a lot!!!! I would like to be like you, What did you do for be brillant at maths?? (Serious question!!!!!!!!!!!!!)
And we could take things a bit farther. We can see the curve is concave downward, so we can infer that the tangent line will always rise above the curve. So dy will be greater than delta-y. If the function were different and concave upward, we would have the opposite. In fact, if we take the second derivative we can find out for any function which way it 'bends' and thus know whether dy or delta-y will be larger. And of course if the function is complicated enough, there may be inflection points where concavity reverses so that would be even more fun. Nice video.
Hello, Just Calculus, day e^e^e wishing you that you can pass calculus
Thanks, a lot!!!!
I would like to be like you, What did you do for be brillant at maths??
(Serious question!!!!!!!!!!!!!)
Thanks! loop
but dy is something when dx is near 0. something is not making sense
What a curious outro
For real
Are you okay there, Mr Chow? Thanks for the video.
Yea, it happens sometimes lol. : )
geez, what happened here???? "Delta-y versus dy and check my other videos..."
TUTUTUTU