What is the derivative of y=x^2y^3+x^3y^2 ?

The derivative of y=x^2y^3+x^3y^2 is 2y^3x+3y^2x^2

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

The first derivative of y=x^2y^3+x^3y^2 is 2y^3x+3y^2x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = x^{2} y^{3} + x^{3} y^{2}

2 y^{3} x + 3 y^{2} x^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y^{3} x + 3 y^{2} x^{2}

\frac{d y}{d x} = e^{(6 x - 3 y)}

\frac{d}{d x} (\frac{1}{( 16 - x ^{2} )})

\int 10 1 + cos (4 x) d x

\frac{d}{d x} (\frac{( x - 1 ) ( x ^{2} + 4 )}{x ( x + 1 )})

\frac{100 p}{0.1 p + 1}

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