calculus - why is a variable being differentiated like a constant?
Q8, I checked the solution online, and they're treating p (perimeter) as a constant while differentiating. Isn't it a variable, that depends on radius and theta? sorry if this question is dumb
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@Apu
Note for OP
+solved @user to close the thread when your doubt is solved. Mention the user who helped you solve the doubt. This will be added to their stats.p/4?
Correct
alr so peimeter = 2r +r.theta=p, express theta in terms of p and r
area of sector= (theta/2pi).pir^2, substitude theta and do d(area)/dr=0
So while doing d(area)/dr=0, if p is a variable, wouldn't we have to break it (p multiplied by r) down using product rule? As power rule would only work if it were a constant number?
p is not a variable
p constant hai na lol
So when they mention perimeter of a sector is p, they don't mean that it can change, but it's a constant with changing radius?
yes for all theta and corresponsding r, p is constant
Thank you, I'll remember this while solving
+solved @lmaodedXD
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