What is (\partial)/(\partial v)(1/3 (u+v)) ?

The answer to (\partial)/(\partial v)(1/3 (u+v)) is 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial v)(1/3 (u+v))

\frac{\partial}{\partial v} (\frac{1}{3} (u + v))

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

\frac{\partial}{\partial v} (\frac{1}{3} (u + v))

Treat

u

as a constant

Take the constant out:

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

= \frac{1}{3} \frac{\partial}{\partial v} (u + v)

Apply the Sum/Difference Rule:

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

= \frac{1}{3} (\frac{\partial}{\partial v} (u) + \frac{\partial}{\partial v} (v))

\frac{\partial}{\partial v} (u) = 0

\frac{\partial}{\partial v} (v) = 1

= \frac{1}{3} (0 + 1)

Simplify

= \frac{1}{3}

What is (\partial)/(\partial v)(1/3 (u+v)) ?
The answer to (\partial)/(\partial v)(1/3 (u+v)) is 1/3