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Question
Find the derivative of the function $f(x)$ = $3(x^4 - 1)( 5x^2 + 2x)$
Solution
The correct answer is $3(30x^5 + 10x^4 - 10x - 2)$
Explanation
Following the Constant rule and the Product rule we can write
$f ' (x)$ = $3[(x^4 - 1)(10x + 2) + ( 5x^2 + 2x)(4x^3)]$
= $3(10x^5 + 2x^4 - 10x - 2 + 20x^5 + 8x^4)$
= $3(30x^5 + 10x^4 - 10x - 2)$
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