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

The answer to (\partial)/(\partial y)(y-x^3) is 1

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

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

1

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (y) = 1

\frac{\partial}{\partial y} (x^{3}) = 0

= 1 - 0

Simplify

= 1

\frac{d}{d x} (\frac{( 1 - x )}{x})

y^{^{''}} + 6 y^{^{'}} + 9 y = t^{- 2} e^{- 3 t}

y^{^{'}} = \frac{3}{( x + 2 ) ^{2}}

7^{x + a r c c o s (x)}

\int_{\frac{π}{5}}^{\infty} \frac{5}{x} d x

What is (\partial)/(\partial y)(y-x^3) ?
The answer to (\partial)/(\partial y)(y-x^3) is 1