What is (\partial)/(\partial x)(3y^5x^2+8yx^3) ?

The answer to (\partial)/(\partial x)(3y^5x^2+8yx^3) is 6y^5x+24yx^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(3y^5x^2+8yx^3)

\frac{\partial}{\partial x} (3 y^{5} x^{2} + 8 y x^{3})

6 y^{5} x + 24 y x^{2}

Solution steps

\frac{\partial}{\partial x} (3 y^{5} x^{2} + 8 y x^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3 y^{5} x^{2}) + \frac{\partial}{\partial x} (8 y x^{3})

\frac{\partial}{\partial x} (3 y^{5} x^{2}) = 6 y^{5} x

\frac{\partial}{\partial x} (8 y x^{3}) = 24 y x^{2}

= 6 y^{5} x + 24 y x^{2}

x \to 3 - lim (\frac{7 - x - 4}{x - 3})

(1 + x^{14}) (\frac{d y}{d x}) + 14 x^{13} y = 11 x^{5}

3^{x^{2} - 1}, at x = 2

\int 3^{5 x - 2} d x

\frac{d}{d x} (\frac{800}{x})

What is (\partial)/(\partial x)(3y^5x^2+8yx^3) ?
The answer to (\partial)/(\partial x)(3y^5x^2+8yx^3) is 6y^5x+24yx^2