What is (\partial)/(\partial x)(4-2x^2-y^2) ?

The answer to (\partial)/(\partial x)(4-2x^2-y^2) is -4x

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(\partial)/(\partial x)(4-2x^2-y^2)

\frac{\partial}{\partial x} (4 - 2 x^{2} - y^{2})

- 4 x

Solution steps

\frac{\partial}{\partial x} (4 - 2 x^{2} - y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4) - \frac{\partial}{\partial x} (2 x^{2}) - \frac{\partial}{\partial x} (y^{2})

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

\frac{\partial}{\partial x} (2 x^{2}) = 4 x

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

= 0 - 4 x - 0

Simplify

= - 4 x

\frac{d}{d x} (e^{- b x^{2}})

y = x^{2} - 3 x + 3 (0.3)

\frac{1}{s ( s ^{2} + 49 )}

\frac{d}{d x} (x^{(\frac{3}{2})})

6 cos (x), at x = \frac{π}{3}

What is (\partial)/(\partial x)(4-2x^2-y^2) ?
The answer to (\partial)/(\partial x)(4-2x^2-y^2) is -4x