What is (\partial)/(\partial x)(4x^{0.75}+y) ?

The answer to (\partial)/(\partial x)(4x^{0.75}+y) is 3/(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)(4x^{0.75}+y)

\frac{\partial}{\partial x} (4 x^{0.75} + y)

\frac{3}{x ^{0.25}}

Solution steps

\frac{\partial}{\partial x} (4 x^{0.75} + y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x^{0.75}) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (4 x^{0.75}) = \frac{3}{x ^{0.25}}

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

= \frac{3}{x ^{0.25}} + 0

Simplify

= \frac{3}{x ^{0.25}}

\int - 729 cot^{3} (θ) csc (θ) d θ

\int 1 - x^{2} - y^{2} d y

\int \frac{1}{t ^{2} - 8 t + 41} d t

\frac{d}{d x} (8 x (x^{5} + 1)^{3})

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

What is (\partial)/(\partial x)(4x^{0.75}+y) ?
The answer to (\partial)/(\partial x)(4x^{0.75}+y) is 3/(x^{0.25)}