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You might be wondering, given a plot {{MATH_398}}, {{CMD_399}} What's the difference between {{MATH_400}} and {{MATH_401}}? What about {{MATH_402}} and {{MATH_403}}? {{CMD_404}} Regardless, it is now a pressing question. Here's the deal: {{MATH_405}} is the {{CMD_406}} of {{MATH_407}} with respect to {{MATH_408}}. On the other hand: {{MATH_409}} is the {{CMD_410}} of {{MATH_411}} with respect to {{MATH_412}}. Essentially, {{MATH_413}} and {{MATH_414}} are the same type of thing, they are (usually small) changes in {{MATH_415}}. However, {{MATH_416}} and {{MATH_417}} are very different things. {{CMD_418}} {{CMD_419}} {{MATH_420}}; it is the change in {{MATH_421}} associated to {{MATH_422}}. {{CMD_423}} {{MATH_424}}, it is the change in {{MATH_425}} associated to {{MATH_426}}. {{MATH_427}} Note: {{MATH_428}}. So, the change {{ENV_429}} {{CMD_430}} {{CMD_431}} Suppose {{MATH_432}}. If we are at the point {{MATH_433}} and {{MATH_434}}, what is {{MATH_435}}? What is {{MATH_436}}? {{CMD_437}} {{MATH_438}} {{CMD_439}} {{CMD_440}} {{MATH_441}} {{CMD_442}} {{CMD_443}} {{MATH_444}} {{CMD_445}} {{CMD_446}} Differentials can be confusing at first. However, when you master them, you will have a powerful tool at your disposal.

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