#Integration question
undone hawkBOT
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queen lance
Recall what the sign of the second derivative (if it's not 0, at least) tells you about the critical point.
willow salmon
Wut
queen lance
What?
willow salmon
Just need help on the solution of this question, 😊
willow salmon
I got maximum for the first part
willow salmon
Yep
cold pagoda
fym "yep"
willow salmon
Its the curve thingy bro I didnt learn definitions
cold pagoda
Its the curve thingy bro I didnt learn definitions
curve thingy
crazy
so basically
a stationary point is called that when dy/dx, the gradient function is set to 0
and to find the nature of the stationary point we have to find d^2y/dx^2, the second derivative and input the value that makes dy/dx = 0
if d^2y/dx^2 < 0, it is a maximum
if d^2y/dx^2 > 0, its a minumum
cold pagoda
if d^2y/dx^2 = 0, then its a point of inflection
queen lance
if d^2y/dx^2 = 0, then its a point of inflection
Not necessarily.
cold pagoda
Not necessarily.
tru
but usually ... ig
questions liek these on my exams are either max or min or poiint of inflection
@willow salmon so you know how integration and differentiation are interlinked right
willow salmon
<@456226577798135808> so you know how integration and differentiation are interl...
Yeah like differentiation in a way is opposite of integration and integration opposite of differentiation
Like how do I explain, like how you can differentiate to get a value u can integrate ig? My Mathematical linguistics are bad
cold pagoda
Yeah like differentiation in a way is opposite of integration and integration op...
Yeah
So with that knowledge
To get dy/dx we need to?
rain basalt
oml how any times did i have to go to a stecky website for the squared numbers and iforgot if there were also cubed ones
safe surge
?tag helping
wraith moatBOT
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willow salmon
i hope you know how to integrate it?
YEP am sure I got it now
(differentiation is multiply and substract, Integration is divide and add)