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
volunteer	now you need another set of parens	14,365	54	[]
volunteer	yeah, like that	14,365	55	[]
volunteer	and divide the whole thing by h	14,365	56	[]
volunteer	now expand the binomial and distribute the other terms	14,365	57	[]
volunteer	wait	14,365	58	[]
volunteer	oh, no, that's good	14,365	59	[]
volunteer	over h	14,365	60	[]
volunteer	keep going. you're doing great!	14,365	61	[]
volunteer	over h	14,365	62	[]
student	if i cancel the h on the -2h^2 will the 2 go away	14,365	63	[]
student	oh wait its still h	14,365	64	[]
student	so this?	14,365	65	[]
volunteer	you can either cancel all the h's inside the parens or the one outside. can't do both	14,365	66	[]
volunteer	the one outside would have been easier	14,365	67	[]
student	wait im confused	14,365	68	[]
volunteer	wait, me too	14,365	69	[]
volunteer	where did that h come from?	14,365	70	[]
student	i thought i had to factor out the h	14,365	71	[]
student	like here	14,365	72	[]
volunteer	I see. canceling h inside the parens was from factoring, then the h outside the parens cancels with denominator	14,365	73	[]
student	so we dont cancel from the denominator	14,365	74	[]
volunteer	you could have just divided every term inside parens by h while canceling the denominator	14,365	75	[]
student	so the h is gone	14,365	76	[]
volunteer	almost	14,365	77	[]
volunteer	just the middle term	14,365	78	[]
student	yea that one is staying	14,365	79	[]
student	but is this right	14,365	80	[]
student	Mr. Miller	14,365	81	[ { "pii_type": "PERSON", "surrogate": "Mr. Miller", "start": 0, "end": 10 } ]
volunteer	let's talk about derivatives	14,365	82	[]
student	i dont think derivatieves is on my test tomorrow i hope	14,365	83	[]
volunteer	hmm, a - sign seems to be missing	14,365	84	[]
student	but i know inverses will be on it	14,365	85	[]
student	huh what negative sign	14,365	86	[]
volunteer	ah, I see it	14,365	87	[]
volunteer	should have been x^2+2xh+h^2	14,365	88	[]
student	like the answer?	14,365	89	[]
volunteer	which makes it -4xh and then -4x	14,365	90	[]
volunteer	I fixed it on the board	14,365	91	[]
student	ohhhhhhhhh	14,365	92	[]
student	i see it now	14,365	93	[]
volunteer	for derivative, you multiply the exponent 2 times the -2x to get -4x, and the derivative of 5x is 5	14,365	94	[]
volunteer	so the derivative of f(x) is -4x+5	14,365	95	[]
volunteer	looks a lot like your answer	14,365	96	[]
volunteer	all you really do for the derivative is let h go to 0	14,365	97	[]
volunteer	as it becomes a really tiny number, the answer becomes -4x+5	14,365	98	[]
student	can we work on verifying inverses because im not good at that either	14,365	99	[]
volunteer	that's why I told you this is very close to calculus	14,365	100	[]
volunteer	let's do inverse now	14,365	101	[]
student	ok	14,365	102	[]
volunteer	clear the board?	14,365	103	[]
student	sure	14,365	104	[]
volunteer	uploading a problem?	14,365	105	[]
student	yea	14,365	106	[]
student	f(x)=(x+4)/6	14,365	107	[]
volunteer	difference of quotient, or find, then verify inverse?	14,365	108	[]
student	verify inverse	14,365	109	[]
volunteer	what's the inverse?	14,365	110	[]
student	i dont know	14,365	111	[]
volunteer	can't verify the inverse if you don't know it	14,365	112	[]
student	how do i solve for an inverse first	14,365	113	[]
volunteer	I can show you that	14,365	114	[]
student	do i swap the varibles or something	14,365	115	[]
volunteer	are you sure it asks you to verify the inverse, but doesn't give you the inverse?	14,365	116	[]
student	its asking me to find the inverse then verify it	14,365	117	[]
volunteer	like I said above	14,365	118	[]
student	yea	14,365	119	[]
volunteer	swap the x and y, then solve for y	14,365	120	[]
student	ok	14,365	121	[]
student	do i mutiply 6 both ways to cancel 6	14,365	122	[]
volunteer	yep	14,365	123	[]
volunteer	subtract 4 from both sides	14,365	124	[]
student	what did i do wrong	14,365	125	[]
student	ohhhhh	14,365	126	[]
volunteer	trying to get y to be all by itself	14,365	127	[]
student	i was to solve for y	14,365	128	[]
student	ohhhhhhhhh	14,365	129	[]
student	i forgot	14,365	130	[]
student	thank youuuuu	14,365	131	[]
student	yayyyyyyyyyyyyyyyyyyyyyyyyy	14,365	132	[]
student	so how do we verify it	14,365	133	[]
volunteer	you have to calculate both f(f^-1(x)) and f^-1(f(x))	14,365	134	[]
volunteer	make sure that both of them equal x	14,365	135	[]
student	how we do that	14,365	136	[]
volunteer	which do you want to do first?	14,365	137	[]
student	which one is commonly done first	14,365	138	[]
volunteer	doesn't matter	14,365	139	[]
student	which one do you do first	14,365	140	[]
volunteer	f(f^-1(x))	14,365	141	[]
student	then lets do that one	14,365	142	[]
volunteer	replace the x in (x+4)/6 with 6x-4	14,365	143	[]
student	oh to see if they match or something	14,365	144	[]
volunteer	to see if it equals x	14,365	145	[]
student	um i dont know where to start	14,365	146	[]
volunteer	6x-4, right?	14,365	147	[]
student	ohhhhh	14,365	148	[]
student	do i mutiply 6 to cancel the denomitor	14,365	149	[]
volunteer	just remove the parens, first	14,365	150	[]
volunteer	cancel	14,365	151	[]
student	it does equal to x	14,365	152	[]
volunteer	now go the other way	14,365	153	[]

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