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

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

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

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

4

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 4 + 0

Simplify

= 4

\int 4 e^{2 x - 1} d x

\int_{- 1}^{1} \frac{1}{t + 1} d t

\frac{d y}{d x} = 42 y x^{6}

\int_{0}^{1} (2 x + y)^{8} d x

f (x) = x^{3} - \frac{3}{2} x^{2} + 4 x + 1

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