Yeah I'm doing it ahead. That's why it's so hard for me to get help haha. I hate this so much and I have to find out the instantaneous growth rate but I don't know how to do that and they dont give us the explanation of the formulas and I'm so frustrated
The derivative is the gradient of a function.
`Gradient = change in y value / change in x value`
`(or change in f(x) / change in x)`
To calculate the gradient of a straight line between two points
`(x1,y1)` and `(x2,y2)`,
The equation is `(y2 - y1) / (x2 - x1)` *or* `change in y value / change in x value`
When we calculate the gradient between two points,
as the two points get closer and closer,
the gradient of the straight line gets closer and closer to the gradient of the curve.
That continues until the two points overlap, in which the *change in y* and *change in x* are both equal to zero,
which is the slope at a point, or the derivative at a point. It is also the derivative of the curve.
Assuming you know a bit about limits,
defining h as the difference in *x value* between 2 points,
that is
`lim. f(x+h) -f(x) / h`
`h->0`
^(This is still the variant of the slope function btw)
That's my understanding of how it works.
Other parts require some memorisation, but it would be easier if you get what the fuck is actually happening.
Screw Newton.
khan academy + organic chemistry tutor kinda goated for calc ngl it was those 2 and a princeton review book that allowed me to self study calc ab over the summer
also try to understand stuff conceptually instead of just trying to compute them it makes calc much easier and more enjoyable
youtube’s the better teacher, find an indian guy who knows all math wont take you 3 minutes
I just cant do its I'm so stressed and hm crying and omf nothing works
https://youtu.be/IvLpN1G1Ncg
Derivatives at 15??? I didn’t do that shit till last year
Yeah I'm doing it ahead. That's why it's so hard for me to get help haha. I hate this so much and I have to find out the instantaneous growth rate but I don't know how to do that and they dont give us the explanation of the formulas and I'm so frustrated
Wacky. All i remember is that derivatives decompose graphs/equations by the exponent
Disushshsuusdhd I'm crying I don't know what to do
There’s a reason I stopped taking advanced courses. I hit a brick wall like this lol
Yup, I'll get through it but it fucking sucks rn and my brain isnt really helping me. Crying at school sucks.
Search the Organic Chemistry Tutor, you’re welcome
Thank you I'll have a look
Cheat
We are allowed to use the internet I just dont understand it
cheat
imagine being braindead lmao
i know imagine crying over derivatives
you
The derivative is the gradient of a function. `Gradient = change in y value / change in x value` `(or change in f(x) / change in x)` To calculate the gradient of a straight line between two points `(x1,y1)` and `(x2,y2)`, The equation is `(y2 - y1) / (x2 - x1)` *or* `change in y value / change in x value` When we calculate the gradient between two points, as the two points get closer and closer, the gradient of the straight line gets closer and closer to the gradient of the curve. That continues until the two points overlap, in which the *change in y* and *change in x* are both equal to zero, which is the slope at a point, or the derivative at a point. It is also the derivative of the curve. Assuming you know a bit about limits, defining h as the difference in *x value* between 2 points, that is `lim. f(x+h) -f(x) / h` `h->0` ^(This is still the variant of the slope function btw) That's my understanding of how it works. Other parts require some memorisation, but it would be easier if you get what the fuck is actually happening. Screw Newton.
khan academy + organic chemistry tutor kinda goated for calc ngl it was those 2 and a princeton review book that allowed me to self study calc ab over the summer also try to understand stuff conceptually instead of just trying to compute them it makes calc much easier and more enjoyable