How to find the derivative of sin 2 x 2 ?

Question

How to find the derivative of                     sin        2                    x        2            ?

usifaneledv2 · Accepted Answer

4    x                            sin          x                2                                          cos            x                    2                            Solution: before starting note that                     sin        2                    (        x        )              =                  (                  sin          x                )            2       this form makes it&#039;easier&#039; to apply the chain rule.Rewriting                     sin        2                    x        2              =                  (                              sin            x                    2                )            2      differentiating using the chain rule gives:      2          (                        sin          x                2            )        .          d              d        x                    (                        sin          x                2            )        =    2          (                        sin          x                2            )              (                        cos          x                2            )        .          d              d        x                    (              x        2            )            =    2          (                        sin          x                2            )                                cos          x                2                    (        2        x        )                  ⇒          d              d        x                    (                        sin          2                          x          2                    )        =    4    x                            sin          x                2                                          cos            x                    2

How do you find the derivative of sin^2 x^2?

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