To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Factor out of .

Simplify the expression.

Apply the product rule to .

Raise to the power of .

Since is constant with respect to , the derivative of with respect to is .

Simplify terms.

Multiply by .

Combine and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Differentiate using the Power Rule which states that is where .

Multiply by .

Find the Derivative f(x)=arccsc(2x)