What is (\partial)/(\partial x)(-x-sin(y^2)) ?

The answer to (\partial)/(\partial x)(-x-sin(y^2)) is -1

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(\partial)/(\partial x)(-x-sin(y^2))

\frac{\partial}{\partial x} (- x - sin (y^{2}))

- 1

Solution steps

\frac{\partial}{\partial x} (- x - sin (y^{2}))

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} (sin (y^{2}))

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

\frac{\partial}{\partial x} (sin (y^{2})) = 0

= - 1 - 0

Simplify

= - 1

What is (\partial)/(\partial x)(-x-sin(y^2)) ?
The answer to (\partial)/(\partial x)(-x-sin(y^2)) is -1