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

The answer to (\partial)/(\partial x)(x^6y^7-x^5y^6) is 6y^7x^5-5y^6x^4

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

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

6 y^{7} x^{5} - 5 y^{6} x^{4}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (x^{5} y^{6}) = 5 y^{6} x^{4}

= 6 y^{7} x^{5} - 5 y^{6} x^{4}

\frac{d}{d x} (\frac{7 + 2 ln ( x )}{x})

\int (csc (x) cot (x)) d x

\frac{1}{( s ^{2} + s + 1 ) s}

y = e^{x}

x \to \infty lim (6 \cdot x)

What is (\partial)/(\partial x)(x^6y^7-x^5y^6) ?
The answer to (\partial)/(\partial x)(x^6y^7-x^5y^6) is 6y^7x^5-5y^6x^4