What is (\partial)/(\partial x)(5x+8y+10z) ?

The answer to (\partial)/(\partial x)(5x+8y+10z) is 5

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(\partial)/(\partial x)(5x+8y+10z)

\frac{\partial}{\partial x} (5 x + 8 y + 10 z)

5

Solution steps

\frac{\partial}{\partial x} (5 x + 8 y + 10 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} (8 y) + \frac{\partial}{\partial x} (10 z)

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

\frac{\partial}{\partial x} (8 y) = 0

\frac{\partial}{\partial x} (10 z) = 0

= 5 + 0 + 0

Simplify

= 5

f^{^{'}} (x) = \frac{x ^{2}}{( 9 + 4 x )}

y^{3} d x - x y^{2} d y + x^{3} d x = 0

\frac{d}{d x} (2 π x^{2})

y = x x, (4, 8)

\frac{\partial}{\partial t} (2 cos (t) + 8 x^{2})

What is (\partial)/(\partial x)(5x+8y+10z) ?
The answer to (\partial)/(\partial x)(5x+8y+10z) is 5