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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

y = 3 x^{2} + 4 x + 4, (1, 1)

- 0.0087 x^{2} - 0.4587 x + 18.031, [0, 15]

\frac{d}{d x} (\frac{e ^{x}}{2 x ^{2} + 9})

x \cdot y \cdot y^{^{'}} = 1 - x^{2}

\frac{d}{d x} (\frac{x ^{3} - x}{x})

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