What is (\partial)/(\partial x)(7x^8y^4+9x^7y^6) ?

The answer to (\partial)/(\partial x)(7x^8y^4+9x^7y^6) is 56y^4x^7+63y^6x^6

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(\partial)/(\partial x)(7x^8y^4+9x^7y^6)

\frac{\partial}{\partial x} (7 x^{8} y^{4} + 9 x^{7} y^{6})

56 y^{4} x^{7} + 63 y^{6} x^{6}

Solution steps

\frac{\partial}{\partial x} (7 x^{8} y^{4} + 9 x^{7} y^{6})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 x^{8} y^{4}) + \frac{\partial}{\partial x} (9 x^{7} y^{6})

\frac{\partial}{\partial x} (7 x^{8} y^{4}) = 56 y^{4} x^{7}

\frac{\partial}{\partial x} (9 x^{7} y^{6}) = 63 y^{6} x^{6}

= 56 y^{4} x^{7} + 63 y^{6} x^{6}

\int 2 e^{3 y} d y

\frac{\partial}{\partial z} (x^{2} + 8 z)

x \to 2 lim (\frac{6}{( x - 2 ) ^{2}})

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

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

What is (\partial)/(\partial x)(7x^8y^4+9x^7y^6) ?
The answer to (\partial)/(\partial x)(7x^8y^4+9x^7y^6) is 56y^4x^7+63y^6x^6