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

The answer to (\partial)/(\partial x)(3yx^2) is 6yx

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(\partial)/(\partial x)(3yx^2)

\frac{\partial}{\partial x} (3 y x^{2})

6 y x

Solution steps

\frac{\partial}{\partial x} (3 y x^{2})

Treat

y

as a constant

Take the constant out:

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

= 3 y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 3 y \cdot 2 x^{2 - 1}

Simplify

= 6 y x

\frac{d}{d x} (5 - 8 x)

\frac{\partial}{\partial y} (- \frac{y ^{3}}{3} - 8 x)

n \to \infty lim (\frac{n}{10 + n})

\frac{( s + 2 ) ^{2}}{s ^{3}}

x \to 3 lim (\frac{x - 3}{x ^{2} + 9})

What is (\partial)/(\partial x)(3yx^2) ?
The answer to (\partial)/(\partial x)(3yx^2) is 6yx