(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Differentiate with respect to x

y = tan^(-1) x

2. Relevant equations

3. The attempt at a solution

ANSWER in book:

y = tan^(-1) x

x = tan y

dx/dy =sec^(2) y = (1 + x^2)

dy/dx = 1 / (1 + x^2)

How is it known that sec^(2) y = (1 + x^2)

Does it follow from an identity?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Differentiate with respect to x

**Physics Forums | Science Articles, Homework Help, Discussion**