Find the Derivative - d/dx csc(x)^2

Problem

d(csc(x))/d(x)

Solution

1. Identify the outer and inner functions to apply the chain rule. The expression is of the form u2 where u=csc(x)

2. Apply the power rule to the outer function, which gives 2*csc(x) multiplied by the derivative of the inner function.

3. Apply the derivative rule for the cosecant function, which is d(csc(x))/d(x)=−csc(x)*cot(x)

4. Multiply the results of the chain rule steps together.

5. Simplify the expression by combining the cosecant terms.

Final Answer

d(csc(x))/d(x)=−2*csc(x)*cot(x)

Want more problems? Check here!