What is (\partial)/(\partial x)(2x+3y+4) ?

The answer to (\partial)/(\partial x)(2x+3y+4) is 2

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(\partial)/(\partial x)(2x+3y+4)

\frac{\partial}{\partial x} (2 x + 3 y + 4)

2

Solution steps

\frac{\partial}{\partial x} (2 x + 3 y + 4)

Treat

y

as a constant

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} (4)

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

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

\frac{\partial}{\partial x} (4) = 0

= 2 + 0 + 0

Simplify

= 2

\int 2 x (x^{2} + 5)^{4} d x

f (x) = x^{2} (4 - x)^{2}

9 x y \frac{d y}{d x} = 1

\int (2 x^{2} + 3 x - 5) sin (x) d x

f (x) = 3 x^{3} - x^{2} + 7, at x = 2

What is (\partial)/(\partial x)(2x+3y+4) ?
The answer to (\partial)/(\partial x)(2x+3y+4) is 2