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

Problem

(d(−)*csc(x))/d(x)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=−csc(x)

2. Apply the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of the function.

(d(−)*csc(x))/d(x)=−1⋅d(csc(x))/d(x)

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

(d(−)*csc(x))/d(x)=−1⋅(−csc(x)*cot(x))

4. Simplify the expression by multiplying the negative signs.

(d(−)*csc(x))/d(x)=csc(x)*cot(x)

Final Answer

(d(−)*csc(x))/d(x)=csc(x)*cot(x)

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