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

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

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

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

2

Solution steps

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

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

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

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

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

= 2 + 0 + 0

Simplify

= 2

(y + 1) \frac{d y}{d x} = 2 x

x^{3}, x^{5}

\int_{2}^{5} (1 - x^{2}) - (11 - 7 x) d x

\int \frac{1}{x ^{\frac{3}{4}}} d x

x \to 0 lim (2^{\frac{1}{2}})

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