Question

Differentiate the function. $f(x)=x^3(x+3)$ 

   Differentiate the function.
$f(x)=x^3(x+3)$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 19 ↓
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Differentiate the function. $f(x)=x^3(x+3)$
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Transcript

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00:01 So if your test with doing the power rule, what you should do first is get this so it's no longer a product.
00:09 I just don't think you've learned the product rule yet because right here would be where you would identify that you have a product.
00:18 But instead of doing that rule, what i would do is distribute x cubed into the problem.
00:24 So f of x would be the same thing as x cubed times x would be x to the fourth.
00:31 And then x cubed times 3 is just 3x cubed.
00:35 Because now, as long as you've learned the power rule, which it seems like you have, you can move the exponent in front, and you multiply by the coefficient, well, 4 times 1 is still 4...
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