What is (\partial)/(\partial x)(x^7y^6-x^6y^5) ?

The answer to (\partial)/(\partial x)(x^7y^6-x^6y^5) is 7y^6x^6-6y^5x^5

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(\partial)/(\partial x)(x^7y^6-x^6y^5)

\frac{\partial}{\partial x} (x^{7} y^{6} - x^{6} y^{5})

7 y^{6} x^{6} - 6 y^{5} x^{5}

Solution steps

\frac{\partial}{\partial x} (x^{7} y^{6} - x^{6} y^{5})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x^{7} y^{6}) - \frac{\partial}{\partial x} (x^{6} y^{5})

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

\frac{\partial}{\partial x} (x^{6} y^{5}) = 6 y^{5} x^{5}

= 7 y^{6} x^{6} - 6 y^{5} x^{5}

\int_{0}^{π} 15 sin^{2} (4 x) d x

\int 3 x^{2} e^{2 x} d x

n = 1 \sum \infty \frac{1}{n} \cdot x^{n}

\frac{d}{d x} (y x)

What is (\partial)/(\partial x)(x^7y^6-x^6y^5) ?
The answer to (\partial)/(\partial x)(x^7y^6-x^6y^5) is 7y^6x^6-6y^5x^5