What is the derivative of x^3y-y^2 ?

The derivative of x^3y-y^2 is 3x^2y

What is the first derivative of x^3y-y^2 ?

The first derivative of x^3y-y^2 is 3x^2y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{3} y - y^{2}

3 x^{2} y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (y^{2}) = 0

= 3 y x^{2} - 0

Simplify

= 3 x^{2} y

\frac{d}{d x} ((x - 3) (x + 6) (x - 9))

\int (tan (4 x) + sec (4 x))^{2} d x

\frac{\partial}{\partial x} (e^{3 x - y})

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

n = 0 \sum \infty - \frac{1}{5 ^{n}}

What is the derivative of x^3y-y^2 ?
The derivative of x^3y-y^2 is 3x^2y
What is the first derivative of x^3y-y^2 ?
The first derivative of x^3y-y^2 is 3x^2y