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

The answer to (\partial)/(\partial y)(5x+y) is 1

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

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

1

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (5 x) = 0

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

= 0 + 1

Simplify

= 1

\frac{d}{d a} (sin^{4} (a) + cos^{4} (a))

\int \frac{sec ( x ) tan ( x )}{- 5 + sec ( x )} d x

x \to 0 + lim (9 cos (9 x))

\int \frac{e ^{x}}{e ^{x} - 2} d x

x \to 0 lim (- 4 x^{- 3})

What is (\partial)/(\partial y)(5x+y) ?
The answer to (\partial)/(\partial y)(5x+y) is 1