What is (\partial)/(\partial x)(x^7y^6) ?

The answer to (\partial)/(\partial x)(x^7y^6) is 7x^6y^6

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(\partial)/(\partial x)(x^7y^6)

\frac{\partial}{\partial x} (x^{7} y^{6})

7 x^{6} y^{6}

Solution steps

\frac{\partial}{\partial x} (x^{7} y^{6})

Treat

y

as a constant

Take the constant out:

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

= y^{6} \frac{\partial}{\partial x} (x^{7})

Apply the Power Rule:

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

= y^{6} \cdot 7 x^{7 - 1}

Simplify

= 7 x^{6} y^{6}

\int 5 x - 1 d x

\frac{d y}{d x} = 8 - \frac{y}{50}, y (0) = 50

y^{^{''}} = 6 t

f (x) = \frac{1}{x ^{8}}

\frac{d}{d x} (x + \frac{1}{x})

What is (\partial)/(\partial x)(x^7y^6) ?
The answer to (\partial)/(\partial x)(x^7y^6) is 7x^6y^6