What is (\partial)/(\partial x)(xzt^2sqrt(y+1)) ?

The answer to (\partial)/(\partial x)(xzt^2sqrt(y+1)) is zt^2sqrt(y+1)

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(\partial)/(\partial x)(xzt^2sqrt(y+1))

\frac{\partial}{\partial x} (x z t^{2} y + 1)

z t^{2} y + 1

Solution steps

\frac{\partial}{\partial x} (x z t^{2} y + 1)

Treat

z, t, y

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= z t^{2} y + 1 \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= z t^{2} y + 1 \cdot 1

Simplify

= z t^{2} y + 1

What is (\partial)/(\partial x)(xzt^2sqrt(y+1)) ?
The answer to (\partial)/(\partial x)(xzt^2sqrt(y+1)) is zt^2sqrt(y+1)