What is (\partial)/(\partial x)(5x+6y) ?

The answer to (\partial)/(\partial x)(5x+6y) is 5

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(\partial)/(\partial x)(5x+6y)

\frac{\partial}{\partial x} (5 x + 6 y)

5

Solution steps

\frac{\partial}{\partial x} (5 x + 6 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (5 x) + \frac{\partial}{\partial x} (6 y)

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

\frac{\partial}{\partial x} (6 y) = 0

= 5 + 0

Simplify

= 5

x \to + 3 lim (\frac{x ^{2} - 2}{3 - x})

\int sin (x + 1) d x

\int (x^{2} + 2 x) e^{3 x + 2} d x

\frac{d}{d x} (\frac{2}{1 + x})

\frac{d y}{d x} = \frac{4 x ^{3} + y ^{3}}{x y ^{2}}

What is (\partial)/(\partial x)(5x+6y) ?
The answer to (\partial)/(\partial x)(5x+6y) is 5