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

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

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(\partial)/(\partial x)(4x-sqrt(y^2+2z^2))

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

4

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= 4 - 0

Simplify

= 4

y = 2 e^{x^{2} + 5 x + 9}

\int 8 sin (x) d x

\frac{\partial}{\partial x} (100 \cdot (y - x^{2})^{2})

3 + 7 t + t^{2} + δ (t)

y = \frac{5}{x}, y = \frac{3}{x}, x = 1, x = 5

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