What is (\partial)/(\partial y)(y/3) ?

The answer to (\partial)/(\partial y)(y/3) is 1/3

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(\partial)/(\partial y)(y/3)

\frac{\partial}{\partial y} (\frac{y}{3})

\frac{1}{3}

Solution steps

\frac{\partial}{\partial y} (\frac{y}{3})

Take the constant out:

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

= \frac{1}{3} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{1}{3} \cdot 1

Simplify

= \frac{1}{3}

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

x d x + \frac{1}{y} d y = 0

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

\int x 4^{3 x^{2}} d x

(x y + 2 x + y + 2) d x + (x^{2} + 2 x) d y = 0

What is (\partial)/(\partial y)(y/3) ?
The answer to (\partial)/(\partial y)(y/3) is 1/3