What is (\partial)/(\partial x)(1.2x^{0.6}y^{0.4}) ?

The answer to (\partial)/(\partial x)(1.2x^{0.6}y^{0.4}) is (0.72y^{0.4})/(x^{0.4)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(1.2x^{0.6}y^{0.4})

\frac{\partial}{\partial x} (1.2 x^{0.6} y^{0.4})

\frac{0.72 y ^{0.4}}{x ^{0.4}}

Solution steps

\frac{\partial}{\partial x} (1.2 x^{0.6} y^{0.4})

Treat

y

as a constant

Take the constant out:

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

= 1.2 y^{0.4} \frac{\partial}{\partial x} (x^{0.6})

Apply the Power Rule:

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

= 1.2 y^{0.4} \cdot 0.6 x^{0.6 - 1}

Simplify

1.2 y^{0.4} \cdot 0.6 x^{0.6 - 1} : \frac{0.72 y ^{0.4}}{x ^{0.4}}

= \frac{0.72 y ^{0.4}}{x ^{0.4}}

sin (x - \frac{π}{4})

\int u^{n} d u

\int \frac{5}{x + 2} - \frac{3}{( x + 2 ) ^{2}} d x

\int x^{2} (1 + x^{3})^{\frac{1}{4}} d x

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

What is (\partial)/(\partial x)(1.2x^{0.6}y^{0.4}) ?
The answer to (\partial)/(\partial x)(1.2x^{0.6}y^{0.4}) is (0.72y^{0.4})/(x^{0.4)}