mabelabueno
mabelabueno mabelabueno
  • 01-10-2018
  • Advanced Placement (AP)
contestada

explain why the quotient rule is used to determine the derivative of tan x and cot x

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WillJ
WillJ WillJ
  • 06-10-2018

The quotient rule is used to find the derivative of a ratio between two functions.  It is used in the case of tan(x) and cot(x) because tan(x) can be written as [tex]\frac{sin(x)}{cos(x)}[/tex] (so f(x) = tan(x) is really f(x) = [tex]\frac{sin(x)}{cos(x)}[/tex]).  Similarly, cot(x) can be written as [tex]\frac{cos(x)}{sin(x)}[/tex], so the quotient rule also applies.

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