What is (\partial)/(\partial x)(54x^8y^5-40x^7y^4) ?

The answer to (\partial)/(\partial x)(54x^8y^5-40x^7y^4) is 432y^5x^7-280y^4x^6

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(\partial)/(\partial x)(54x^8y^5-40x^7y^4)

\frac{\partial}{\partial x} (54 x^{8} y^{5} - 40 x^{7} y^{4})

432 y^{5} x^{7} - 280 y^{4} x^{6}

Solution steps

\frac{\partial}{\partial x} (54 x^{8} y^{5} - 40 x^{7} y^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (54 x^{8} y^{5}) - \frac{\partial}{\partial x} (40 x^{7} y^{4})

\frac{\partial}{\partial x} (54 x^{8} y^{5}) = 432 y^{5} x^{7}

\frac{\partial}{\partial x} (40 x^{7} y^{4}) = 280 y^{4} x^{6}

= 432 y^{5} x^{7} - 280 y^{4} x^{6}

\int \frac{ln ( x )}{x} d x

f (x) = (3) e - 5 x

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

x e^{x} + e^{x}

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

What is (\partial)/(\partial x)(54x^8y^5-40x^7y^4) ?
The answer to (\partial)/(\partial x)(54x^8y^5-40x^7y^4) is 432y^5x^7-280y^4x^6