What is (\partial)/(\partial x)(7x-y) ?

The answer to (\partial)/(\partial x)(7x-y) is 7

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(\partial)/(\partial x)(7x-y)

\frac{\partial}{\partial x} (7 x - y)

7

Solution steps

\frac{\partial}{\partial x} (7 x - y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 x) - \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (7 x) = 7

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

= 7 - 0

Simplify

= 7

2 y \frac{d y}{d x} + 2 = y^{2} + 2 x

\frac{d y}{d x} = \frac{x}{y}

y^{^{''}} + 8 y^{^{'}} + 20 y = 40, y (0) = 0, y^{^{'}} (0) = 0

\int csc (t) d t

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = x e^{x}

What is (\partial)/(\partial x)(7x-y) ?
The answer to (\partial)/(\partial x)(7x-y) is 7