What is (\partial)/(\partial x)(x^8y^4-x^7y^3) ?

The answer to (\partial)/(\partial x)(x^8y^4-x^7y^3) is 8y^4x^7-7y^3x^6

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(\partial)/(\partial x)(x^8y^4-x^7y^3)

\frac{\partial}{\partial x} (x^{8} y^{4} - x^{7} y^{3})

8 y^{4} x^{7} - 7 y^{3} x^{6}

Solution steps

\frac{\partial}{\partial x} (x^{8} y^{4} - x^{7} y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{8} y^{4}) - \frac{\partial}{\partial x} (x^{7} y^{3})

\frac{\partial}{\partial x} (x^{8} y^{4}) = 8 y^{4} x^{7}

\frac{\partial}{\partial x} (x^{7} y^{3}) = 7 y^{3} x^{6}

= 8 y^{4} x^{7} - 7 y^{3} x^{6}

\frac{d}{d x} (5 (2 x e^{x} + e^{x} x^{2}))

\int_{1}^{4} 10 t ln (t) d t

\frac{\partial}{\partial x} (6 y^{2} + 478 x - 10)

\frac{d}{d x} (- \frac{2 x}{( 4 + x ^{2} ) ^{2}})

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

What is (\partial)/(\partial x)(x^8y^4-x^7y^3) ?
The answer to (\partial)/(\partial x)(x^8y^4-x^7y^3) is 8y^4x^7-7y^3x^6