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

The answer to (\partial)/(\partial x)(8y^9x^7-7y^8x^6) is 56y^9x^6-42y^8x^5

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

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

56 y^{9} x^{6} - 42 y^{8} x^{5}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (8 y^{9} x^{7}) = 56 y^{9} x^{6}

\frac{\partial}{\partial x} (7 y^{8} x^{6}) = 42 y^{8} x^{5}

= 56 y^{9} x^{6} - 42 y^{8} x^{5}

y^{^{'}} + 3 x^{2} y = sin (x) e^{- x^{3}}

x \to 3 lim (\frac{8 x + 7}{5 x + 7})

\frac{d}{d x} (\frac{1}{4} x^{4} + \frac{1}{8 x ^{2}})

\frac{d}{d x} (\frac{3}{x + 6})

\int e^{x} x - e^{x} + C d x

What is (\partial)/(\partial x)(8y^9x^7-7y^8x^6) ?
The answer to (\partial)/(\partial x)(8y^9x^7-7y^8x^6) is 56y^9x^6-42y^8x^5