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

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

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(\partial)/(\partial x)(2x+2y^2)

\frac{\partial}{\partial x} (2 x + 2 y^{2})

2

Solution steps

\frac{\partial}{\partial x} (2 x + 2 y^{2})

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} (2 y^{2})

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

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

= 2 + 0

Simplify

= 2

x sin (x^{3})

x^{- \frac{2}{4}} + x^{\frac{2}{4}}

\int_{0}^{\infty} 3 e^{- 3 x} d x

\int_{0}^{1} \frac{1}{( x - 1 ) ^{\frac{2}{3}}} d x

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