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

The answer to (\partial)/(\partial x)(x^7y^9-x^6y^8) is 7y^9x^6-6y^8x^5

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

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

7 y^{9} x^{6} - 6 y^{8} x^{5}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (x^{6} y^{8}) = 6 y^{8} x^{5}

= 7 y^{9} x^{6} - 6 y^{8} x^{5}

\int \frac{1}{( x ^{2} + x + 1 )} d x

(- 5 x + 24)^{\frac{3}{2}}

x \to 1 lim (\frac{5}{x + 1})

f (x) = 4 - (x - 1)^{2}, (1, 3)

n = 0 \sum \infty (- \frac{x}{4})^{n}

What is (\partial)/(\partial x)(x^7y^9-x^6y^8) ?
The answer to (\partial)/(\partial x)(x^7y^9-x^6y^8) is 7y^9x^6-6y^8x^5