Question

find the derivative of tan(x)/x​

Answer 1

Answer:

Step-by-step explanation:

They are as follows: (sinx)′=cosx,(cosx)′=−sinx. Using the quotient rule it is easy to obtain an expression for the derivative of tangent: (tanx)′=(sinxcosx)′=(sinx)′cosx−sinx(cosx)′cos2x=cosx⋅cosx−sinx⋅(−sinx)cos2x=cos2x+sin2xcos2

Answer 2

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