What is the derivative of 4xy^2 ?

The derivative of 4xy^2 is 4y^2

What is the first derivative of 4xy^2 ?

The first derivative of 4xy^2 is 4y^2

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derivative of

4 x y^{2}

4 y^{2}

Solution steps

\frac{d}{d x} (4 x y^{2})

Treat

y

as a constant

Take the constant out:

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

= 4 y^{2} \frac{d x}{d x}

Apply the common derivative:

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

= 4 y^{2} \cdot 1

Simplify

= 4 y^{2}

\int \frac{x}{( 1 + x ^{4} )} d x

x \to - 3 lim ((6 - 3 x) (\frac{3}{5} x - 1))

\int 2 y^{2} + y e^{x y} d x

(5 y^{2} - x y) d x + (x^{2}) d y = 0

y^{^{''}} - 3 y^{^{'}} = 8