What is (\partial)/(\partial x)(5x^2-3xy^2+xyz) ?

The answer to (\partial)/(\partial x)(5x^2-3xy^2+xyz) is 10x-3y^2+yz

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(5x^2-3xy^2+xyz)

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

10 x - 3 y^{2} + yz

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

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

\frac{\partial}{\partial x} (x yz) = yz

= 10 x - 3 y^{2} + yz

\int - \frac{1}{1 + u ^{2}} d u

3 e^{- 3 s}

x^{2} y^{^{'}} + 2 x y = 19 cos^{2} (x)

y^{^{''}} + 8 y^{^{'}} - 9 y = 0, y (1) = 1, y^{^{'}} (1) = 0

\int r 16 - r^{2} d r

What is (\partial)/(\partial x)(5x^2-3xy^2+xyz) ?
The answer to (\partial)/(\partial x)(5x^2-3xy^2+xyz) is 10x-3y^2+yz