Question

derivative of cotx with respect to x
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Answer 1

Answer:

The derivative of cot(x) is computed using the derivative of sinx and cosx and the quotient rule of differentiation. Examples of derivatives of cotangent composite functions are also presented along with their solutions.

Answer 2

Step-by-step explanation:

The derivative of cotangent can be found in the same way. However, this can be also done using the chain rule for differentiating a composite function: (cotx)′=(1tanx)′=−1tan2x⋅(tanx)′=−1sin2xcos2x⋅1cos2x=−cos2x sin2x⋅cos2x =−1sin2x. (cscx)′=(1sinx)′=−1sin2x⋅(sinx)′=−cosxsin2x=−cosxsinx⋅1sinx=−cotxcscx