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

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

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

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

- 5 y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 5 y

Simplify

= - 5 y

\int 1 + x^{2} d x

\frac{\partial}{\partial z} (\frac{1}{x y z ^{2}})

\frac{d y}{d x} = \frac{- x y ^{2}}{2}

x \to 2 lim ((x - 2) (2^{x} - 4))

x^{3^{x}}

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