# How do you find the derivative of #x^2y#?

Use the product rule:

Or:

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To find the derivative of ( x^2y ), you would use the product rule, which states that if ( y = f(x)g(x) ), then ( y' = f'(x)g(x) + f(x)g'(x) ). In this case, ( f(x) = x^2 ) and ( g(x) = y ).

[ f'(x) = 2x ] [ g'(x) = \frac{dy}{dx} ]

Applying the product rule:

[ y' = (2x)y + x^2 \left( \frac{dy}{dx} \right) ]

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