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

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

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

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

- 8 x^{5}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (x^{6}) = 0

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

= 0 - 8 x^{5}

Simplify

= - 8 x^{5}

g (x) = 4 x^{2} + 10 x - 1

(x + 2) e^{\frac{1}{x}}

\int_{- 2}^{0} x^{2} + x - 1 d x

x \to 0 lim (\frac{( tan ( 2 x ) )}{x})

7 x + 1

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