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

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

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

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

5

Solution steps

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

Treat

y, z

as constants

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} (z)

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

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

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

= 5 - 0 + 0

Simplify

= 5

\int ln (1 - x) d x

y = arccot (2 t)

\int \frac{4 x ^{2}}{( 16 + x ^{2} ) ^{2}} d x

y^{^{''}} - 6 y^{^{'}} - 7 y = 15 e^{2 t}

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

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