What is (\partial)/(\partial x)(1+x^4+y^3) ?

The answer to (\partial)/(\partial x)(1+x^4+y^3) is 4x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(1+x^4+y^3)

\frac{\partial}{\partial x} (1 + x^{4} + y^{3})

4 x^{3}

Solution steps

\frac{\partial}{\partial x} (1 + x^{4} + y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (x^{4}) + \frac{\partial}{\partial x} (y^{3})

\frac{\partial}{\partial x} (1) = 0

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

\frac{\partial}{\partial x} (y^{3}) = 0

= 0 + 4 x^{3} + 0

Simplify

= 4 x^{3}

What is (\partial)/(\partial x)(1+x^4+y^3) ?
The answer to (\partial)/(\partial x)(1+x^4+y^3) is 4x^3