What is the Derivative of (1+tanx)?

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Homework Help Overview

The discussion revolves around finding the derivative of the function (1 + tan(x)), specifically focusing on the application of the quotient rule and the differentiation of trigonometric functions.

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the differentiation of the function, with one participant attempting to apply the quotient rule and questioning the correctness of their derivative calculation.

Discussion Status

Some participants confirm the derivative calculation, while others engage in light commentary about the implications of the identity used in the differentiation process. There appears to be a shared understanding of the derivative's components, but no formal resolution is reached.

Contextual Notes

Participants express a desire for simplification in their understanding of derivatives, indicating that the discussion may be influenced by exam preparation constraints.

fitz_calc
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real quick review needed, I'm working through the quotient rule on a problem and need the first derivative of:

(1+tanx)

is it simply equal to:

(0 + sec^2x * 1)
(sec^2 x)

??
 
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yes that's correct

1 = 0, \tan{x}=\sec^2{x}
 
rocophysics said:
1 = 0
Geez, that's a nice identity.
I wish I could use that on my exam, it would make life a lot easier :biggrin:
 
CompuChip said:
Geez, that's a nice identity.
I wish I could use that on my exam, it would make life a lot easier :biggrin:
lol, you know what i meant ;)
 
Yeah, I know you meant

1' = 0, \tan(x)' = \sec^2(x)
where ' = \frac{\rm d}{{\rm d}x}.
 

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