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

Problem

(d(−)*cot(x))/d(x)

Solution

1. Identify the constant multiple rule, which allows the negative sign to be moved outside the derivative operator.

(d(−)*cot(x))/d(x)=−d(cot(x))/d(x)

2. Apply the derivative rule for the cotangent function, which states that the derivative of cot(x) with respect to x is −csc2(x)

−d(cot(x))/d(x)=−(−csc2(x))

3. Simplify the expression by multiplying the two negative signs to get a positive result.

−(−csc2(x))=csc2(x)

Final Answer

(d(−)*cot(x))/d(x)=csc2(x)

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