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 | Do you want to move on to the second one now? | 9,320 | 63 | [] |
student | wait but what about the exponent do i leave that to a negative | 9,320 | 64 | [] |
volunteer | Yes if you want | 9,320 | 65 | [] |
volunteer | You can also make it a fraction and use the formula a^(-b) = 1/(a^b) | 9,320 | 66 | [] |
volunteer | But it | 9,320 | 67 | [] |
volunteer | 's not necessary | 9,320 | 68 | [] |
student | because i do have the answer key for the review sheet but it simplified it when i just looked at it | 9,320 | 69 | [] |
volunteer | Are the 2 equivalent? | 9,320 | 70 | [] |
student | what do you mean | 9,320 | 71 | [] |
volunteer | Can your answer be simplified to match theirs? | 9,320 | 72 | [] |
student | yes | 9,320 | 73 | [] |
volunteer | Then you're good | 9,320 | 74 | [] |
student | but could you show me how it would look like when i simplify it please | 9,320 | 75 | [] |
volunteer | Okay, if you want | 9,320 | 76 | [] |
student | like the process | 9,320 | 77 | [] |
volunteer | Sure | 9,320 | 78 | [] |
volunteer | So you have a negative exponent | 9,320 | 79 | [] |
volunteer | How you would deal with that is make it a fraction | 9,320 | 80 | [] |
student | make it over 1 | 9,320 | 81 | [] |
volunteer | I think you might be able to figure out the rest | 9,320 | 82 | [] |
volunteer | You distribute the 2 | 9,320 | 83 | [] |
volunteer | Then put the polynomial in the numerator of the fraciton | 9,320 | 84 | [] |
volunteer | That might be what's on the answer key | 9,320 | 85 | [] |
student | yes | 9,320 | 86 | [] |
student | alright thank youuuu | 9,320 | 87 | [] |
student | okay let me but the second question | 9,320 | 88 | [] |
volunteer | Sounds good | 9,320 | 89 | [] |
student | okay is it like the same thing as the chain rule | 9,320 | 90 | [] |
volunteer | Yes | 9,320 | 91 | [] |
volunteer | Exactly right | 9,320 | 92 | [] |
student | ohh okay | 9,320 | 93 | [] |
student | that was easier than i thought | 9,320 | 94 | [] |
volunteer | Good! | 9,320 | 95 | [] |
student | here is the enxt one | 9,320 | 96 | [] |
student | same thing? | 9,320 | 97 | [] |
volunteer | Yes, but you might find a challenge differentiating the inner function without a next step, try though | 9,320 | 98 | [] |
volunteer | Not quite right | 9,320 | 99 | [] |
student | wait wait | 9,320 | 100 | [] |
volunteer | Still not quite | 9,320 | 101 | [] |
student | yeah i figured | 9,320 | 102 | [] |
volunteer | I can help if you're confused | 9,320 | 103 | [] |
student | yes please | 9,320 | 104 | [] |
volunteer | You were correct to add the parentheses | 9,320 | 105 | [] |
volunteer | What is the outer function | 9,320 | 106 | [] |
volunteer | ? | 9,320 | 107 | [] |
student | it's sin^2 | 9,320 | 108 | [] |
volunteer | Yes, but we don't know how to differentiate that | 9,320 | 109 | [] |
volunteer | What's the outer function within sin^2? | 9,320 | 110 | [] |
student | sin | 9,320 | 111 | [] |
volunteer | That's the inner function | 9,320 | 112 | [] |
student | i am confused | 9,320 | 113 | [] |
student | confuse by the question? isn't sin^2 one function | 9,320 | 114 | [] |
volunteer | Yes, sin^2 is one function, but it means (sin(x))^2 | 9,320 | 115 | [] |
volunteer | It is something squared | 9,320 | 116 | [] |
student | okay | 9,320 | 117 | [] |
volunteer | What do you think the outer function is for sin^2(x)? | 9,320 | 118 | [] |
student | sin^2 | 9,320 | 119 | [] |
student | and the x is the inner function | 9,320 | 120 | [] |
volunteer | That's true but it won't help you | 9,320 | 121 | [] |
volunteer | What if instead of sin(x)^2 it was (2x+1)^2? | 9,320 | 122 | [] |
student | then would it be (2x+1) | 9,320 | 123 | [] |
student | or like an invisible 1 | 9,320 | 124 | [] |
volunteer | 2x+1 would be the inner function | 9,320 | 125 | [] |
volunteer | The outer function is some function w(x) such that w(2x+1)=(2x+1)^2 | 9,320 | 126 | [] |
volunteer | What do you think w(x) could be? | 9,320 | 127 | [] |
volunteer | Maybe I should give this one to you | 9,320 | 128 | [] |
student | 2x | 9,320 | 129 | [] |
volunteer | Close | 9,320 | 130 | [] |
volunteer | If w(x) was 2x, it would be 2(2x+1) not (2x+1)^2 | 9,320 | 131 | [] |
student | ohh maybe x | 9,320 | 132 | [] |
volunteer | No | 9,320 | 133 | [] |
volunteer | I might just need to tell you this one | 9,320 | 134 | [] |
student | yes please | 9,320 | 135 | [] |
volunteer | x^3 | 9,320 | 136 | [] |
volunteer | ^2 | 9,320 | 137 | [] |
volunteer | Sorry, it's x^2, that was a typo | 9,320 | 138 | [] |
volunteer | If x is replaced with y) for our example, we get (sin(x))^2 | 9,320 | 139 | [] |
volunteer | Which is sin^2(x) | 9,320 | 140 | [] |
volunteer | For the other example with 2x+1, if we replace x in x^2 with 2x+1, we get (2x+1)^2 | 9,320 | 141 | [] |
student | could you write it on the board so i can visualize it more | 9,320 | 142 | [] |
volunteer | Does that help? | 9,320 | 143 | [] |
volunteer | We could try a table if not | 9,320 | 144 | [] |
student | to be honest not really but it's okay we could move on to the next question just because there is a lot and i don't wanna get stuck on one quesiton | 9,320 | 145 | [] |
volunteer | Fine | 9,320 | 146 | [] |
volunteer | I can show you the process if you want instead of just skipping it though | 9,320 | 147 | [] |
student | sure, ill put it up again | 9,320 | 148 | [] |
volunteer | I can just do it without it | 9,320 | 149 | [] |
student | okay | 9,320 | 150 | [] |
volunteer | Does that make any sense? | 9,320 | 151 | [] |
student | yeah | 9,320 | 152 | [] |
volunteer | Good enough then | 9,320 | 153 | [] |
volunteer | We can move on now | 9,320 | 154 | [] |
student | alright | 9,320 | 155 | [] |
volunteer | Although I might have to go soon | 9,320 | 156 | [] |
volunteer | We can start | 9,320 | 157 | [] |
student | alright | 9,320 | 158 | [] |
student | how long you staying? | 9,320 | 159 | [] |
volunteer | Probably ~10-15 minutes | 9,320 | 160 | [] |
student | okay | 9,320 | 161 | [] |
student | so for this i know to trun the sqare into another form idk what it' called | 9,320 | 162 | [] |
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