What is the derivative of ( 5 + 6 x + 6 x <mrow class="MJX-TeXAtom-ORD">

Laila Andrews

Laila Andrews

Answered question

2022-04-04

What is the derivative of ( 5 + 6 x + 6 x 2 )  x 3 ?

Answer & Explanation

rynosluv101swv2s

rynosluv101swv2s

Beginner2022-04-05Added 19 answers

Differentiate using the Product Rule which states that ddx[f(x)g(x)] is f(x)ddx[g(x)]+g(x)ddx[f(x)] where f(x)=5+6x+6x2 and g(x)=x3.

(5+6x+6x2)ddx[x3]+x3ddx[5+6x+6x2]

Differentiate.

3(5+6x+6x2)x2+x3(6+12x)

Simplify.

30x4+24x3+15x2

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