What is the derivative of 3xy^2 ?

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

What is the first derivative of 3xy^2 ?

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

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derivative of

3 x y^{2}

3 y^{2}

Solution steps

\frac{d}{d x} (3 x y^{2})

Treat

y

as a constant

Take the constant out:

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

= 3 y^{2} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 3 y^{2} \cdot 1

Simplify

= 3 y^{2}

(\frac{1 - 2 x}{1 + x})^{3}

y = x^{3} + e^{7} x

sin^{2} (x) + 4

\frac{2 a}{y}

(\frac{7 x ^{3}}{2 x ^{2} + 1})^{3}