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

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

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

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

4 (y + 2 x - z)

Solution steps

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

Treat

y, z

as constants

Apply the chain rule:

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

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

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

= 2 (y + 2 x - z) \cdot 2

Simplify

= 4 (y + 2 x - z)

f (x) = - 3 x^{\frac{2}{3}}, at x = - 8

x \to + 0 lim (x^{x})

\int \frac{1}{x ( x + 0.5 )} d x

\int y^{- 1} d y

\int_{- 1}^{1} x^{2} - x^{4} d x

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