Differentiate the function. g ( x ) = 3 x − 3 ( x 4 − 3 x 3 + 15 x − 4 )

Question

Differentiate the function.  g  (  x  )  =  3      x          −      3        (      x          4        −  3      x          3        +  15  x  −  4  )

Anaya Gregory · Accepted Answer

distribute   (  3      x          −      3        )     t  o         x          4        −  3      x          3        +  15  x  −  4so that simplifies to   3  x  −  9  +  45      x          −      2        −  12      x          3      now differentiate the above funt  g  (  x  )  =  3  x  −  9  +  45      x          −      2        −  12      x          3            g    ′    (  x  )  =  3  −  0  −  90  x  −  36      x          2            g    ′    (  x  )  =  3  −  90  x  −  36      x          2

Donna Flynn · Accepted Answer

g  (  x  )  =  3      x          −      3        (      x          4        −  3      x          3        +  15  x  −  4  )First multiply   g  (  x  )  =  3      x          −      3        (      x          4        −  3      x          3        +  15  x  −  4  )  =  3  x  −  9  +  45      x          −      2        −  12      x          −      3      Now differentiate using the power rule which is       d          d      x        [      x          n        ]  =  n      x          n      −      1      So,       g    ′    (  x  )  =  3  −  90      x          −      3        +  36      x          −      4           o  r         g    ′    (  x  )  =  3  −      90          x              3              +      36          x              4

Differentiate the function. g(x)=3x^(-3)(x^4 -3x^3 +15x-4)

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