- #1
Winning
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Homework Statement
[tex]\frac{d}{dx}x^{2}y^{2} = ?[/tex]
Homework Equations
Power rule: [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
Product rule: [tex]\frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + g'(x)f(x)[/tex]
The Attempt at a Solution
My TI-89 titanium gives me [tex]2xy^{2}[/tex]
Which contradicts the power rule.
Doing this by hand gives me
[tex]2x^{2}y + 2xy^{2}[/tex]
Which one is correct? Is "y" considered as it's own function or as a constant?