What is (\partial)/(\partial x)(4x+6y+2z) ?

The answer to (\partial)/(\partial x)(4x+6y+2z) is 4

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(\partial)/(\partial x)(4x+6y+2z)

\frac{\partial}{\partial x} (4 x + 6 y + 2 z)

4

Solution steps

\frac{\partial}{\partial x} (4 x + 6 y + 2 z)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x) + \frac{\partial}{\partial x} (6 y) + \frac{\partial}{\partial x} (2 z)

\frac{\partial}{\partial x} (4 x) = 4

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

\frac{\partial}{\partial x} (2 z) = 0

= 4 + 0 + 0

Simplify

= 4

y^{^{''}} + 2 y^{^{'}} + y = e^{- t} ln (t)

\int \frac{3}{8} x^{2} d x

\frac{d y}{d x} = \frac{x + 3 y}{y - 3 x}

\int n^{x} d x

y = - 25 + 5 x + 10 e^{- \frac{x}{5} + 1}

What is (\partial)/(\partial x)(4x+6y+2z) ?
The answer to (\partial)/(\partial x)(4x+6y+2z) is 4