What is the derivative of 5x^2y^2 ?

The derivative of 5x^2y^2 is 10xy^2

What is the first derivative of 5x^2y^2 ?

The first derivative of 5x^2y^2 is 10xy^2

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derivative of

5 x^{2} y^{2}

10 x y^{2}

Solution steps

\frac{d}{d x} (5 x^{2} y^{2})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 y^{2} \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 y^{2} \cdot 2 x^{2 - 1}

Simplify

= 10 x y^{2}

What is the derivative of 5x^2y^2 ?
The derivative of 5x^2y^2 is 10xy^2
What is the first derivative of 5x^2y^2 ?
The first derivative of 5x^2y^2 is 10xy^2