What is (\partial)/(\partial y)(1-xy) ?

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

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(\partial)/(\partial y)(1-xy)

\frac{\partial}{\partial y} (1 - x y)

- x

Solution steps

\frac{\partial}{\partial y} (1 - x y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (1) = 0

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

= 0 - x

Simplify

= - x

\frac{1}{s ( s ^{2} + 4 )} + 1

x \to 0 lim (\frac{\frac{4}{x - 1} + 4}{x})

\frac{d}{d x} (\frac{x}{x + 2})

e^{4 x s i n (2 x)}

f (x) = x^{3} + 5 x

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