What is the first derivative of 3x*y ?

The first derivative of 3x*y is 3y

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derivative of 3x*y

derivative of

3 x \cdot 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

f (x) = 2 x^{3}

\int_{0}^{\frac{π}{4}} 5 tan^{3} (x) d x

t y^{^{'}} + 2 y = t^{2} - t + 1, y (1) = \frac{1}{2}

f (x) = (x^{3} + 2) (3 x^{2} - 4 x + 2), (1, 3)

\int \frac{3 x ^{2} + 3 x + 1}{x ^{3} + 2 x ^{2} + 2 x + 1} d x