What is the first derivative of 6xy ?

The first derivative of 6xy is 6y

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derivative of 6xy

derivative of

6 x y

6 y

Solution steps

\frac{d}{d x} (6 x y)

Treat

y

as a constant

Take the constant out:

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

= 6 y \frac{d x}{d x}

Apply the common derivative:

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

= 6 y \cdot 1

Simplify

= 6 y

x \to 0 - lim ((- x)^{- x})

\frac{d}{d x} ((3 x^{3} - 2 x^{2}) \cdot (3 x^{4} + x^{2}))

\int \frac{20}{( x - 1 ) \cdot ( x ^{2} + 9 )} d x

y^{3} - 2 x - 2 d x + 3 y^{2} x d y = 0

\frac{d}{d x} (sec (x) tan (x) (x) (x + 1))