#I need help with this math packet, i don’t understand it

57 messages · Page 1 of 1 (latest)

twin gate
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Any help understanding how to do these would be amazing

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lean questBOT
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lean questBOT
ionic zealot
twin gate
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I dont really understand what derivatives are or how to find them

ionic zealot
twin gate
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That would be helpful

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Thank you

ionic zealot
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so basically derivative of a function f(x) =y is denoted by f'(x) or dy/dx , you can find derivative of f at x by $f'(x)=\lim_{h\to0} \frac {f(x+h) - f(x)}{h}$

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brah

twin gate
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How do you graph a derivative?

fathom haloBOT
ionic zealot
twin gate
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So is it like a transformation?

ionic zealot
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i dont think you have learned about them yet

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let me show u

twin gate
ionic zealot
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like look

image.png
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the red one is the f(x)

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and blue is f'(x)

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you see when the slope of f is 0 the f'(x) is 0

ionic zealot
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do you understand derivatives now?

twin gate
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No 😭

ionic zealot
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BRAH

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do you want the visual example

ionic zealot
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wait

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do you know what slope means

twin gate
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Yeah i do

ionic zealot
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bro trust me i got ts

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okay ill say it

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m = y2- y1/x2-x1

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now lets assume that x2 and x1 are really close

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like x2-x1 = h and h is a really really small number

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and also lets assume these two points lie on a curve f(x)=y

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so the points will be (x1,f(x1)),(x2,f(x2))

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now the slope can be written as f(x2) - f(x1)/x2-x1

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and if x2 and x1 are really really close to each other

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i,e,

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x2-x1 is really small

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we can say x2-x1 = h

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and x2 = h+x1

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here h is a really small number

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then f(x1+h)-f(x1)/h

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this willl be the slope

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now we assumed x2 and x1 almost coincide

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that means this slope is the slope of the curve at the point

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@twin gate

twin gate
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Wiat i have to go for a few minutes to get lunch i will be back very soon

ionic zealot
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ping me when yr back

twin gate
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@ionic zealot

ionic zealot
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did u read what i said

lean questBOT
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@twin gate

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