What is (\partial)/(\partial x)(x^{0.75}y^{0.25}) ?

The answer to (\partial)/(\partial x)(x^{0.75}y^{0.25}) is (0.75y^{0.25})/(x^{0.25)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^{0.75}y^{0.25})

\frac{\partial}{\partial x} (x^{0.75} y^{0.25})

\frac{0.75 y ^{0.25}}{x ^{0.25}}

Solution steps

\frac{\partial}{\partial x} (x^{0.75} y^{0.25})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= y^{0.25} \frac{\partial}{\partial x} (x^{0.75})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= y^{0.25} \cdot 0.75 x^{0.75 - 1}

Simplify

y^{0.25} \cdot 0.75 x^{0.75 - 1} : \frac{0.75 y ^{0.25}}{x ^{0.25}}

= \frac{0.75 y ^{0.25}}{x ^{0.25}}

y = lo g_{2} (3 x + 4)

\frac{d}{d x} (9 e^{- 2 x})

\int 4 + e^{x} d x

\frac{d}{d x} (\frac{1}{16} x^{4})

\int 6 sec^{4} (x) d x

What is (\partial)/(\partial x)(x^{0.75}y^{0.25}) ?
The answer to (\partial)/(\partial x)(x^{0.75}y^{0.25}) is (0.75y^{0.25})/(x^{0.25)}