What is (\partial)/(\partial x)(x^2(1+2y)) ?

The answer to (\partial)/(\partial x)(x^2(1+2y)) is 2x(1+2y)

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(\partial)/(\partial x)(x^2(1+2y))

\frac{\partial}{\partial x} (x^{2} (1 + 2 y))

2 x (1 + 2 y)

Solution steps

\frac{\partial}{\partial x} (x^{2} (1 + 2 y))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= (1 + 2 y) \cdot 2 x^{2 - 1}

Simplify

= 2 x (1 + 2 y)

\frac{d}{d x} (\frac{1}{2} x^{2} 36 - x^{2})

n = 0 \sum \infty 2^{n} 1^{n}

\int \frac{1}{( x ^{2} + 1 ) ^{2}} d x

\int x cos^{2} (4 x) d x

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

What is (\partial)/(\partial x)(x^2(1+2y)) ?
The answer to (\partial)/(\partial x)(x^2(1+2y)) is 2x(1+2y)