What is (\partial)/(\partial x)(x-y^4) ?

The answer to (\partial)/(\partial x)(x-y^4) is 1

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(\partial)/(\partial x)(x-y^4)

\frac{\partial}{\partial x} (x - y^{4})

1

Solution steps

\frac{\partial}{\partial x} (x - y^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (y^{4})

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

\frac{\partial}{\partial x} (y^{4}) = 0

= 1 - 0

Simplify

= 1

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

\frac{1}{s ( s + 5 )}

x \to 0 lim (\frac{x ^{3}}{e ^{x} - 1})

\int - x^{2} cos (x) d x

\frac{2 a + b}{( s + 1 )}

What is (\partial)/(\partial x)(x-y^4) ?
The answer to (\partial)/(\partial x)(x-y^4) is 1