What is (\partial)/(\partial x)(2x-sqrt(4y^2+3z^2)) ?

The answer to (\partial)/(\partial x)(2x-sqrt(4y^2+3z^2)) is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(2x-sqrt(4y^2+3z^2))

\frac{\partial}{\partial x} (2 x - 4 y^{2} + 3 z^{2})

2

Solution steps

\frac{\partial}{\partial x} (2 x - 4 y^{2} + 3 z^{2})

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x) - \frac{\partial}{\partial x} (4 y^{2} + 3 z^{2})

\frac{\partial}{\partial x} (2 x) = 2

\frac{\partial}{\partial x} (4 y^{2} + 3 z^{2}) = 0

= 2 - 0

Simplify

= 2

x \to 0 - lim (\frac{- \frac{1}{2}}{4 x})

e^{(- x^{2})}

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

\int 2 x e^{- x^{2}} d x

\int \frac{1}{( x ^{2} + 4 x + 5 ) ^{2}} d x

What is (\partial)/(\partial x)(2x-sqrt(4y^2+3z^2)) ?
The answer to (\partial)/(\partial x)(2x-sqrt(4y^2+3z^2)) is 2