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

Awainaideannagi

Awainaideannagi

Answered question

2022-07-28

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

Answer & Explanation

Anaya Gregory

Anaya Gregory

Beginner2022-07-29Added 14 answers

distribute ( 3 x 3 )   t o   x 4 3 x 3 + 15 x 4
so 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

Donna Flynn

Beginner2022-07-30Added 3 answers

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

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