What is (\partial)/(\partial x)(y^5-3xy) ?

The answer to (\partial)/(\partial x)(y^5-3xy) is -3y

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(\partial)/(\partial x)(y^5-3xy)

\frac{\partial}{\partial x} (y^{5} - 3 x y)

- 3 y

Solution steps

\frac{\partial}{\partial x} (y^{5} - 3 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (y^{5}) - \frac{\partial}{\partial x} (3 x y)

\frac{\partial}{\partial x} (y^{5}) = 0

\frac{\partial}{\partial x} (3 x y) = 3 y

= 0 - 3 y

Simplify

= - 3 y

x^{^{''}} + 4 x^{^{'}} + 4 x = 0

\frac{60 t + 180}{t + 6}

\int_{2}^{3} \frac{x}{x ^{2} + 1} d x

\frac{d}{d x} (x ln (y))

\int - \frac{4}{3}

What is (\partial)/(\partial x)(y^5-3xy) ?
The answer to (\partial)/(\partial x)(y^5-3xy) is -3y