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

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

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

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

2 y x - 1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (x) = 1

= 2 y x - 1

\int tan (x^{2}) d x

0.0796 - 0.066 \cdot x^{\frac{1}{2}}

\int_{0}^{1} 3 (1 + x)^{5} d x

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

\frac{d y}{d x} = - 10 y

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