What is the first derivative of 4xy ?

The first derivative of 4xy is 4y

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derivative of 4xy

derivative of

4 x y

4 y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 4 y \cdot 1

Simplify

= 4 y

\int (8 x + 13) e^{x} d x

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

y = x^{2} + x, at x = 1

\frac{d}{d x} (arctan (\frac{( a ^{2} - x ^{3} )}{b ^{2}}))

\frac{d}{d x} (\frac{1 - 2 x ^{2}}{x ^{4} - 2 x ^{2} + 6})