What is the first derivative of 3xy ?

The first derivative of 3xy is 3y

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derivative of 3xy

derivative of

3 x y

3 y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 3 y \cdot 1

Simplify

= 3 y

\frac{\partial}{\partial x} (45 y sin (9 x))

\int_{1}^{3} (y^{4} + \frac{1}{4 y ^{4}}) d y

y^{^{''}} + 6 y^{^{'}} + 25 y = 0, y (0) = a, y^{^{'}} (0) = b

\int_{3}^{7} 1 d x

\int_{0}^{6} \frac{1}{18} x d x