What is (\partial)/(\partial x)(63x^8y^6-48x^7y^5) ?

The answer to (\partial)/(\partial x)(63x^8y^6-48x^7y^5) is 504y^6x^7-336y^5x^6

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(\partial)/(\partial x)(63x^8y^6-48x^7y^5)

\frac{\partial}{\partial x} (63 x^{8} y^{6} - 48 x^{7} y^{5})

504 y^{6} x^{7} - 336 y^{5} x^{6}

Solution steps

\frac{\partial}{\partial x} (63 x^{8} y^{6} - 48 x^{7} y^{5})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (63 x^{8} y^{6}) - \frac{\partial}{\partial x} (48 x^{7} y^{5})

\frac{\partial}{\partial x} (63 x^{8} y^{6}) = 504 y^{6} x^{7}

\frac{\partial}{\partial x} (48 x^{7} y^{5}) = 336 y^{5} x^{6}

= 504 y^{6} x^{7} - 336 y^{5} x^{6}

f (x) = (x^{2} + 1)^{4}

y^{^{'}} = 0.15 ln (\frac{2000}{y}) y

\int_{- 2}^{2} 4 x - x^{3} d x

\frac{d y}{d x} = \frac{e ^{x}}{7 + e ^{x}}

\int \frac{( 1 + sin ( 2 x ) ) ^{4}}{sec ( 2 x )} d x

What is (\partial)/(\partial x)(63x^8y^6-48x^7y^5) ?
The answer to (\partial)/(\partial x)(63x^8y^6-48x^7y^5) is 504y^6x^7-336y^5x^6