What is the derivative of 3x^3y ?

The derivative of 3x^3y is 3(3x^2y+(dy)/(dx)x^3)

What is the first derivative of 3x^3y ?

The first derivative of 3x^3y is 3(3x^2y+(dy)/(dx)x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

3 (3 x^{2} y + \frac{d y}{d x} x^{3})

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = y

= 3 (\frac{d}{d x} (x^{3}) y + \frac{d y}{d x} x^{3})

\frac{d}{d x} (x^{3}) = 3 x^{2}

= 3 (3 x^{2} y + \frac{d y}{d x} x^{3})

\int_{0}^{3} \frac{1}{x} d x

\int_{0}^{t} x e^{- x} d x

x y^{^{'}} - y = 2 x^{2} - 2 x - 2

x y^{^{'}} - y = x, y (1) = 10

\int_{0}^{2} π (3 x^{2})^{2} d x

What is the derivative of 3x^3y ?
The derivative of 3x^3y is 3(3x^2y+(dy)/(dx)x^3)
What is the first derivative of 3x^3y ?
The first derivative of 3x^3y is 3(3x^2y+(dy)/(dx)x^3)