# What is the derivative of #f(x)=arctan[(x+1)/(x-1)]#?

Observe that,

desired derivative!

By signing up, you agree to our Terms of Service and Privacy Policy

The derivative of ( f(x) = \arctan\left[\frac{x+1}{x-1}\right] ) is ( f'(x) = \frac{1}{1 + \left(\frac{x+1}{x-1}\right)^2} \cdot \frac{(x-1) - (x+1)}{(x-1)^2} ).

By signing up, you agree to our Terms of Service and Privacy Policy

The derivative of ( f(x) = \arctan\left(\frac{x+1}{x-1}\right) ) is ( \frac{1}{1 + \left(\frac{x+1}{x-1}\right)^2} \cdot \frac{(x-1) - (x+1)}{(x-1)^2} ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7