The differential coefficient of sec(tan^{-1}(x))

Kara Cummings

Kara Cummings

Answered question

2023-03-21

The differential coefficient of sec(tan-1x).

Answer & Explanation

alexccheng68b6a1

alexccheng68b6a1

Beginner2023-03-22Added 9 answers

Determine the function's differential coefficient.
The function sec(tan-1x) is equivalent to the expression:
sec(tan-1x)=secsec-1x2+1tan-1x=sec-1x2+1=x2+1
The function is a compound function.
Determine the derivative:
ddxx2+1=12x2+1ddxx2+1ddxx2+1=12x2+12xddxx2+1=xx2+1
Hence, the differential coefficient is xx2+1.

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