What is (\partial)/(\partial x)(54-2/3 x^2-4y^2) ?

The answer to (\partial)/(\partial x)(54-2/3 x^2-4y^2) is -(4x)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(54-2/3 x^2-4y^2)

\frac{\partial}{\partial x} (54 - \frac{2}{3} x^{2} - 4 y^{2})

- \frac{4 x}{3}

Solution steps

\frac{\partial}{\partial x} (54 - \frac{2}{3} x^{2} - 4 y^{2})

Simplify

54 - \frac{2}{3} x^{2} - 4 y^{2} : 54 - \frac{2 x ^{2}}{3} - 4 y^{2}

= \frac{\partial}{\partial x} (54 - \frac{2 x ^{2}}{3} - 4 y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (54) - \frac{\partial}{\partial x} (\frac{2 x ^{2}}{3}) - \frac{\partial}{\partial x} (4 y^{2})

\frac{\partial}{\partial x} (54) = 0

\frac{\partial}{\partial x} (\frac{2 x ^{2}}{3}) = \frac{4 x}{3}

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

= 0 - \frac{4 x}{3} - 0

Simplify

= - \frac{4 x}{3}

\int \frac{3}{1 - x ^{2}} d x

\int_{0}^{l n (3)} \frac{4}{e ^{x} + 2} d x

t \to 0 lim (\frac{4}{t} - \frac{4}{e ^{t} - 1})

x \to 4 lim (2 x - 1)

\frac{d}{d x} (5 e^{4 x})

What is (\partial)/(\partial x)(54-2/3 x^2-4y^2) ?
The answer to (\partial)/(\partial x)(54-2/3 x^2-4y^2) is -(4x)/3