What is (\partial)/(\partial x)(3x^6y^2) ?

The answer to (\partial)/(\partial x)(3x^6y^2) is 18x^5y^2

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(\partial)/(\partial x)(3x^6y^2)

\frac{\partial}{\partial x} (3 x^{6} y^{2})

18 x^{5} y^{2}

Solution steps

\frac{\partial}{\partial x} (3 x^{6} y^{2})

Treat

y

as a constant

Take the constant out:

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

= 3 y^{2} \frac{\partial}{\partial x} (x^{6})

Apply the Power Rule:

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

= 3 y^{2} \cdot 6 x^{6 - 1}

Simplify

= 18 x^{5} y^{2}

\frac{d}{d x} (- 5 (2 x - 100)^{6})

\frac{d}{d t} (6 t^{2} - 8 + 40 cos (π t))

\int 3 t^{4} d t

\frac{\partial}{\partial s} (t cos (s))

\frac{1}{x} y^{^{'}} = \frac{1}{x} - \frac{1}{x ^{3}} - 5 - y

What is (\partial)/(\partial x)(3x^6y^2) ?
The answer to (\partial)/(\partial x)(3x^6y^2) is 18x^5y^2