What is (\partial)/(\partial x)(x^9y^7-x^8y^6) ?

The answer to (\partial)/(\partial x)(x^9y^7-x^8y^6) is 9y^7x^8-8y^6x^7

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(\partial)/(\partial x)(x^9y^7-x^8y^6)

\frac{\partial}{\partial x} (x^{9} y^{7} - x^{8} y^{6})

9 y^{7} x^{8} - 8 y^{6} x^{7}

Solution steps

\frac{\partial}{\partial x} (x^{9} y^{7} - x^{8} y^{6})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{9} y^{7}) - \frac{\partial}{\partial x} (x^{8} y^{6})

\frac{\partial}{\partial x} (x^{9} y^{7}) = 9 y^{7} x^{8}

\frac{\partial}{\partial x} (x^{8} y^{6}) = 8 y^{6} x^{7}

= 9 y^{7} x^{8} - 8 y^{6} x^{7}

\frac{d}{d x} (e^{3 x + 4})

\frac{d}{d x} (6 + x)

x \to 2 lim (g (x))

\frac{d}{d x} (\frac{1}{6 - 7 e ^{x}})

x \to 4 lim (\frac{1}{x + 2})

What is (\partial)/(\partial x)(x^9y^7-x^8y^6) ?
The answer to (\partial)/(\partial x)(x^9y^7-x^8y^6) is 9y^7x^8-8y^6x^7