Find the Derivative f(x)=arctan(x)+arctan(1/x)

By the Sum Rule, the derivative of with respect to is .
The derivative of with respect to is .
Evaluate .
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Combine and .
Move to the denominator using the negative exponent rule .
Simplify.
Apply the product rule to .
Apply the distributive property.
Combine terms.
Multiply by .
One to any power is one.
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Reorder terms.
Combine the numerators over the common denominator.
Subtract from .
Find the Derivative f(x)=arctan(x)+arctan(1/x)