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

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

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(\partial)/(\partial x)(x^7y^5-x^6y^4)

\frac{\partial}{\partial x} (x^{7} y^{5} - x^{6} y^{4})

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

Solution steps

\frac{\partial}{\partial x} (x^{7} y^{5} - x^{6} y^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{7} y^{5}) - \frac{\partial}{\partial x} (x^{6} y^{4})

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

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

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

\frac{3}{5 s - 2}

\int \frac{2 x + 1}{x ^{3} - x ^{2}} d x

\frac{\partial}{\partial x} (- x y z^{2} + 6)

\frac{d}{d x} (x sin (π) x)

x \to 0 + lim (x ln (x^{3}))

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