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

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

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

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

3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

= 0 + 3 + 0

Simplify

= 3

\int_{0}^{2} (4 - x^{2}) d x

\frac{2 s}{s ^{2} + 8 s + 25}

\frac{d x}{d t} - 5 x = 2 t

10 x

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

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