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mathbff
Приєднався 7 лип 2013
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❤︎² Derivatives with the Limit Definition.. How? (mathbff)
Finding derivatives using the limit defintion (also called the limit process), isn't usually the fastest or easiest way to find a derivative, but you'll probably have to learn it anyway. (And understanding it will help you understand derivatives, which will make it easier to learn the faster ways..)
To find a derivative with the limit definition, the basic strategy is always the same: Start with the limit definition and rewrite it with the function you're trying to find the derivative for. The basic structure will always be: (the function with 'X + H') minus (the function with 'X') all divided by H.
The next step to simplify and reduce until you can use direct substitution to find the limit as H approaches 0. How you do that will depend on your function, but there are some strategies that can help with different types of functions:
1) Polynomial Functions (1:26)
For polynomial functions, be aware that you may end up with a lot of terms, but the strategy is to use the same algebra techniques you already know to simplify and reduce. Often you'll be able to factor out an H in the numerator, use it to cancel the H in the denominator, and then just plug 0 in for H to find the limit.
2) Rational Functions (4:58)
For rational functions you'll probably want to combine any fractions by finding their common denominator. You'll often need to multiply by the reciprocal (1/H or similar) to move past having a single H in the denominator.
3) Radical Functions (8:44)
For radical functions a good trick to remember is that you can multiply any terms by their conjugate to remove the radicals. Removing the radicals may make it easier to factor H out.
To find a derivative with the limit definition, the basic strategy is always the same: Start with the limit definition and rewrite it with the function you're trying to find the derivative for. The basic structure will always be: (the function with 'X + H') minus (the function with 'X') all divided by H.
The next step to simplify and reduce until you can use direct substitution to find the limit as H approaches 0. How you do that will depend on your function, but there are some strategies that can help with different types of functions:
1) Polynomial Functions (1:26)
For polynomial functions, be aware that you may end up with a lot of terms, but the strategy is to use the same algebra techniques you already know to simplify and reduce. Often you'll be able to factor out an H in the numerator, use it to cancel the H in the denominator, and then just plug 0 in for H to find the limit.
2) Rational Functions (4:58)
For rational functions you'll probably want to combine any fractions by finding their common denominator. You'll often need to multiply by the reciprocal (1/H or similar) to move past having a single H in the denominator.
3) Radical Functions (8:44)
For radical functions a good trick to remember is that you can multiply any terms by their conjugate to remove the radicals. Removing the radicals may make it easier to factor H out.
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❤︎² Find a Limit Algebraically.. How? (mathbff)
Переглядів 19 тис.3 роки тому
There isn’t any one algebraic method that will works for finding every limit. Here are the different methods: 1) Direct Substitution (0:22) When trying to evaluate a limit algebraically your “go to" method should be direct substitution. If direct substitution works, simply plug in the value that x is approaching, and evaluate the function. 2) What about if I get 0/0? (1:25) If you try direct su...
❤︎² Gaussian Elimination.. How? (mathbff)
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Back in action... ❤︎²
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All new videos on the way! Follow @mathbff on Facebook, Instagram and Twitter to be the first to know.
❤︎² Matrix Determinants.. How? (mathbff)
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❤² Matrix Multiplication.. How? (mathbff)
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« Doesn’t mean it’s harder, it’s just bigger », yes.
"if you don't like maths.. you don't have to .. but you can like the video" .. I think she knows.
1:55 that's what she said 😎
Woww
Sorry if I'm dumb, but how do you write on the board? I thought you invert the video afterwards, but the writings on the shirt are correct.
Jill Valentine??
If teacher are you at my childhood I will never bunk the lecture. . Nice
I needed this 5 hours ago 😭😭😭😭
Wow she is looking like Angelina jolie.....math teacher really pretty awsm
if radicals and rationals are getting you down, remember that both can be written in polynomial form and the process remains the same :) [ this also makes them easier for the power rule later]
I love math.
New look.
it's not harder, just bigger story of my life
why at 3:29 are we able to get rid of all the X terms and also the 2 at the end???
This is the only good thing about 2020
Ehy Happy Janel is better for everyone, so respect the process
Why not just use f'(x) = nx^(n-1) for these? Also that square-root(x) = x^(1/2) and 1/x = x^-1 etc?
I love and i love math becuse you love math allot of love for you ♥️♥️♥️
The process had been respected! Thanks for sharing Janel!
New uploads?! Pika-Shocked
@10:28 Why can you multiply the denominator but not the numerator? Doesn't that make the equation "unbalanced?" (BTW, I did have 3 years of Math in college. :) :) )
What software do you use to write in screen?
Hi Guys 😍💋 💝💖
Finnaly i might learn math for once
Thanks❤❤
No ways my lazy ass is going through all those steps when there's a more efficient way. Blame it on the instant gratification
Long time
if there is one thing I've learned it's to respect the process.
Good work
Respect the process
I totally math.
I am so lost.
finally new video we miss you so much teacher
Wow you are back. 👍
First!!
“It’s gonna get kinda big, but it doesn’t mean it’s harder it’s just bigger” ...
🦉🦉🦉
Love
You are genius 🧐
First
So she also writes forwards with her right hand. Pretty skillful!
how does she write on the opposite side of the mirror?
I don't know why all mathematics teachers as bad as they are explaining , but you came to be super hero. hey my guys don't think badly 😂 I know what are you thinking about! I don't mean she is so pretty that's I can understand easily 😉🙄, no no no I think she so smart 👍. 加油
her smile make me love to maths
Respect The Process*
lets just say if I am here , they're strategy worked. UA-cam algorithm knows me too well.
PLS UPDATE FOR VIDEO... you are amazing
please, stay don't ghost us again. we enjoy learning math from u .
she is back yeee..................................
Such a beautiful explanation, loved it!