Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
student	how do you know x is a constant?	18,965	75	[]
volunteer	derivative with respect to y	18,965	76	[]
student	you can apply product rule to that?	18,965	77	[]
volunteer	where are you look at?	18,965	78	[]
volunteer	looking*	18,965	79	[]
student	where you took eg - f=xy and y =x^2	18,965	80	[]
student	above cos2x	18,965	81	[]
student	yes here	18,965	82	[]
volunteer	right, so when you take derivative with respect to y, x is a constant	18,965	83	[]
volunteer	eg. f=ax ==> df/dx=a	18,965	84	[]
student	yes, right	18,965	85	[]
student	but below in blue writing, you wrote df/dx	18,965	86	[]
student	yes here, dy/dx	18,965	87	[]
volunteer	right	18,965	88	[]
student	shouldn't y be constant here?	18,965	89	[]
volunteer	It because we have to consider both variables here	18,965	90	[]
student	I got it, what you were doing wrong	18,965	91	[]
student	when you got 2x^2	18,965	92	[]
volunteer	what was it?	18,965	93	[]
volunteer	where did i err	18,965	94	[]
student	Im writing on board	18,965	95	[]
volunteer	good job	18,965	96	[]
student	thanks! you got it where you mistake?	18,965	97	[]
volunteer	keep going	18,965	98	[]
volunteer	good	18,965	99	[]
student	arigato!	18,965	100	[]
student	how do we know if an alphabet is a constant?	18,965	101	[]
volunteer	so there is something called implicit differentiation	18,965	102	[]
volunteer	that is where you assume every letter is a variable	18,965	103	[]
volunteer	most of the time we only use one variable, and every other letter is a constant	18,965	104	[]
volunteer	You won't deal with implicit differentiation until multivariable calculus	18,965	105	[]
student	can you tell if i have implicit differentiation in my syllabus?	18,965	106	[]
student	It has second order derivative	18,965	107	[]
volunteer	derivative of a function with respect to another function is chain rule	18,965	108	[]
volunteer	You don't have implicit differentiation	18,965	109	[]
volunteer	We still have to go over second order derivatives and maxima and minima	18,965	110	[]
volunteer	actually scroll down to section 6	18,965	111	[]
volunteer	differential equations is where we start implicit differentiation	18,965	112	[]
volunteer	well hold on	18,965	113	[]
volunteer	I remember it from multivariable calculus, thats where we deal with 3d space xyz	18,965	114	[]
volunteer	diff eq was after multivariable	18,965	115	[]
student	ohh, three variables?	18,965	116	[]
volunteer	yes	18,965	117	[]
volunteer	x+y-z=1	18,965	118	[]
volunteer	stuff like that	18,965	119	[]
volunteer	this represents a plane	18,965	120	[]
student	oh no, that's bad!	18,965	121	[]
volunteer	I don't see anything about 3d space here	18,965	122	[]
volunteer	spheres, planes, prisms	18,965	123	[]
student	there is. another section for it	18,965	124	[]
volunteer	those are 3d shapes	18,965	125	[]
volunteer	where?	18,965	126	[]
volunteer	what section was it?	18,965	127	[]
student	section 4	18,965	128	[]
volunteer	ok	18,965	129	[]
student	I highlighted it with green	18,965	130	[]
volunteer	i see it	18,965	131	[]
volunteer	which textbook is it?	18,965	132	[]
volunteer	class 11 chapter 12	18,965	133	[]
volunteer	so chapter before derivatives	18,965	134	[]
student	oh, you asking for chapter	18,965	135	[]
student	yeah	18,965	136	[]
student	can you send me link please?	18,965	137	[]
volunteer	for the 3d space?	18,965	138	[]
volunteer	same textbook we are using	18,965	139	[]
volunteer	Calculus 201	18,965	140	[ { "pii_type": "COURSE", "surrogate": "Calculus 201", "start": 0, "end": 12 } ]
volunteer	Dr. Smith – In this section we will discuss implicit differentiation. Not every function can be explicitly written in terms of the independent variable, e.g. y = f(x) and yet we will still need to know what f'(x) is. Implicit differentiation will allow us to find the derivative in these cases. Knowing implicit differen...	18,965	141	[ { "pii_type": "PERSON", "surrogate": "Dr. Smith", "start": 0, "end": 9 } ]
student	sorry, network issue	18,965	142	[]
student	gimme a min	18,965	143	[]
student	im back!	18,965	144	[]
volunteer	btw what program, or type of school are you in to be taking these classes	18,965	145	[]
volunteer	I didn'XYZ University (multivariable, diff eq and linear algebra)	18,965	146	[ { "pii_type": "SCHOOL", "surrogate": "XYZ University", "start": 7, "end": 21 } ]
student	the exam I mentioned is basically AP Calculus, so I’ve been going over some higher-level math this summer to get ready for it	18,965	147	[]
student	and for other topics, we have 2 substitute teachers that covers those topics	18,965	148	[]
volunteer	AB or BC?	18,965	149	[]
student	bc	18,965	150	[]
volunteer	so we have gone over everything up to chain rule	18,965	151	[]
volunteer	next would be derivative of a composite function and second order derivatives	18,965	152	[]
volunteer	critical points	18,965	153	[]
student	okay, do i stop casting?	18,965	154	[]
volunteer	sure	18,965	155	[]
student	ok	18,965	156	[]
student	Im covering vector. and i read about xyz planes	18,965	157	[]
volunteer	when?	18,965	158	[]
volunteer	you are doing vector space now?	18,965	159	[]
volunteer	dot product and cross product?	18,965	160	[]
student	yes, I started like 10 days ago. I studied dot product, cross product	18,965	161	[]
student	magnitude of vector, direction of vector	18,965	162	[]
student	magnitude of vector, direction of vector	18,965	163	[]
student	unit, null, collinear vector	18,965	164	[]
volunteer	right	18,965	165	[]
volunteer	good	18,965	166	[]
student	yeah, Im studing from this textbook class 12. it has lot of things.	18,965	167	[]
volunteer	sounds like it, this is setup for physics	18,965	168	[]
volunteer	Newtonian mechanics	18,965	169	[]
volunteer	collisions, forces	18,965	170	[]
student	ohh, I see. will i be studing them later on this year?	18,965	171	[]
volunteer	depends if you are taking physics	18,965	172	[]
volunteer	I think its A and C you cover it, projectile motion	18,965	173	[]
volunteer	I think B has wave and optics	18,965	174	[]

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