C3 HELP PLEASE (Urgent)

I'm stuck on this question (pic below), what do I do now???

how do I complete the question?

Original post by calsmith12

how do I complete the question?

The question is complete.

\displaystyle \frac{d}{dx}\left (x^3 (2x+6)^4\right ) = 3x^2(2x+6)^4 + 8x^3(2x+6)^3

Just note, my order is usually how it would look, but it doesn't matter either way. :smile:

However, the answer may be rewritten as

\displaystyle (2x+6)^3(3x^2(2x+6)+8x^3) = (2x+6)^3(6x^3+18x^2+8x^3)

= (14x^3+18x^2)(2x+6)^3

(edited 6 years ago)

Use the product rule and the general power rule (chain rule) and simplify.

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