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

The answer to (\partial)/(\partial x)(3x^3y^2z) is 9x^2y^2z

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(\partial)/(\partial x)(3x^3y^2z)

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

9 x^{2} y^{2} z

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 9 x^{2} y^{2} z

0.03 (1 - cos (2 t))

\int_{0}^{\infty} 3 e^{2 x} d x

y \to 0 lim (\frac{4 y ^{5} + 5 y ^{3}}{y ^{4} - y})

\int - \frac{x}{1 + x} d x

6 - y = x^{2}, y + 8 = x^{2}, x - y + 4 = 0, x - y - 6 = 0

What is (\partial)/(\partial x)(3x^3y^2z) ?
The answer to (\partial)/(\partial x)(3x^3y^2z) is 9x^2y^2z