What is (\partial)/(\partial x)(yx^3) ?

The answer to (\partial)/(\partial x)(yx^3) is 3yx^2

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(\partial)/(\partial x)(yx^3)

\frac{\partial}{\partial x} (y x^{3})

3 y x^{2}

Solution steps

\frac{\partial}{\partial x} (y x^{3})

Treat

y

as a constant

Take the constant out:

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

= y \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

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

= y \cdot 3 x^{3 - 1}

Simplify

= 3 y x^{2}

f (x) = \frac{x ^{3} + 7}{x}

\int \frac{3 x + 2}{9 x ^{2} - 12 x + 8} d x

y = x^{e^{x}}

\int x sin (\frac{1}{9} x) d x

\int_{- 4}^{4} x (16 - x^{2}) d x

What is (\partial)/(\partial x)(yx^3) ?
The answer to (\partial)/(\partial x)(yx^3) is 3yx^2