What is the derivative of sin ( x ) 1 - cos ( x ) ?

Question

What is the derivative of                     sin                  (          x          )                            1        -                  cos                      (            x            )                              ?

zarizaraje1 · Accepted Answer

I would use the Quotient Rule to get:  y  =            sin      ⁡      (      x      )              1      −      cos      ⁡      (      x      )              y    ′    =            cos      ⁡      (      x      )      [      1      −      cos      ⁡      (      x      )      ]      −      sin      ⁡      (      x      )      sin      ⁡      (      x      )              [      1      −      cos      ⁡      (      x      )              ]        2                =            cos      ⁡      (      x      )      −              cos        2            ⁡      (      x      )      −              sin        2            ⁡      (      x      )              [      1      −      cos      ⁡      (      x      )              ]        2              =    =            cos      ⁡      (      x      )      −      [              sin        2            ⁡      (      x      )      +              cos        2            ⁡      (      x      )      ]              [      1      −      cos      ⁡      (      x      )              ]        2                =            cos      ⁡      (      x      )      −      1              [      1      −      cos      ⁡      (      x      )              ]        2              =  −            1      −                        ⧸                            c        o        s            (      x      )              [      1      −      cos      ⁡      (      x      )              ]                                            ⧸                                            2                                  =  −      1          1      −      cos      ⁡      (      x      )

What is the derivative of sin ( x ) 1 - cos ( x )...

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