What is the derivative of ( tan ( 8 x ) ) 2 ?

Question

What is the derivative of                     (                  tan                      (            8            x            )                          )            2      ?

Dakota George · Accepted Answer

Answer is       =    16          tan              (        8        x        )                            sec        2                    (        8        x        )            Solution: We need            (              u        n            )        ′    =    n          u              n        -        1              ⋅    u    ′              (              tan        x            )        ′    =                  sec        2            x      The chain rule is used to compute this derivative.Let       y    =                  (                  tan                      (            8            x            )                          )            2                          d        y                    d        x              =    2          tan              (        8        x        )              ⋅                  sec        2                    (        8        x        )              ⋅    8  Hence,       =    16          tan              (        8        x        )                            sec        2                    (        8        x        )

What is the derivative of ( tan ( 8 x ) ) 2 ?

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