What is (\partial)/(\partial y)(x+5y) ?

The answer to (\partial)/(\partial y)(x+5y) is 5

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(\partial)/(\partial y)(x+5y)

\frac{\partial}{\partial y} (x + 5 y)

5

Solution steps

\frac{\partial}{\partial y} (x + 5 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (x) + \frac{\partial}{\partial y} (5 y)

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

\frac{\partial}{\partial y} (5 y) = 5

= 0 + 5

Simplify

= 5

\frac{d}{d x} (\frac{1}{( 3 x ^{3} + 5 x + 7 ) ^{\frac{3}{4}}})

(e^{y} + 6 \cdot x) \cdot d x + (x \cdot e^{y}) \cdot d y = 0

x \to 16 lim (4 - x)

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

y = arcsin (6 x + 1)

What is (\partial)/(\partial y)(x+5y) ?
The answer to (\partial)/(\partial y)(x+5y) is 5