What is the derivative of x^3y^3 ?

The derivative of x^3y^3 is 3x^2y^3

What is the first derivative of x^3y^3 ?

The first derivative of x^3y^3 is 3x^2y^3

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derivative of

x^{3} y^{3}

3 x^{2} y^{3}

Solution steps

\frac{d}{d x} (x^{3} y^{3})

Treat

y

as a constant

Take the constant out:

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

= y^{3} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= y^{3} \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} y^{3}

\frac{d}{d x} (a \cdot e^{2 x} + b \cdot e^{x} + c)

\frac{e ^{x} - 2}{2}

lo g_{10} (x^{2} + x)

e^{- 4} x

2^{x} + 2^{- x}

What is the derivative of x^3y^3 ?
The derivative of x^3y^3 is 3x^2y^3
What is the first derivative of x^3y^3 ?
The first derivative of x^3y^3 is 3x^2y^3