What is the derivative of (xy^3+x^2y)^3 ?

The derivative of (xy^3+x^2y)^3 is 3(xy^3+x^2y)^2(y^3+2yx)

What is the first derivative of (xy^3+x^2y)^3 ?

The first derivative of (xy^3+x^2y)^3 is 3(xy^3+x^2y)^2(y^3+2yx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

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

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

x \to 4 lim (f (x))

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

f (x) = - 4 x

y^{^{''}} - 5 y^{^{'}} + 6 y = cos (t) e^{- t}

\int 10 x cos (9 x) d x

What is the derivative of (xy^3+x^2y)^3 ?
The derivative of (xy^3+x^2y)^3 is 3(xy^3+x^2y)^2(y^3+2yx)
What is the first derivative of (xy^3+x^2y)^3 ?
The first derivative of (xy^3+x^2y)^3 is 3(xy^3+x^2y)^2(y^3+2yx)