What is (\partial)/(\partial x)(2x-3y+5z) ?

The answer to (\partial)/(\partial x)(2x-3y+5z) is 2

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(\partial)/(\partial x)(2x-3y+5z)

\frac{\partial}{\partial x} (2 x - 3 y + 5 z)

2

Solution steps

\frac{\partial}{\partial x} (2 x - 3 y + 5 z)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x) - \frac{\partial}{\partial x} (3 y) + \frac{\partial}{\partial x} (5 z)

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

\frac{\partial}{\partial x} (3 y) = 0

\frac{\partial}{\partial x} (5 z) = 0

= 2 - 0 + 0

Simplify

= 2

\int 3^{2 x} cos^{2} (3^{x}) d x

f (x) = x - 3

2 x \frac{d y}{d x} + y = 10 x

\int e^{- x} sec^{2} (e^{- x}) d x

\frac{d}{d t} (sin (t) cos (t))

What is (\partial)/(\partial x)(2x-3y+5z) ?
The answer to (\partial)/(\partial x)(2x-3y+5z) is 2