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

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

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

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

\frac{z}{y ^{2} - z}

Solution steps

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

Treat

z, y

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{z}{y ^{2} - z} \cdot 1

Simplify

= \frac{z}{y ^{2} - z}

sec (x)

\int \frac{x}{x ^{3} + 1} d x

\int sin (x) + sin (x) cos (x) d x

\int \frac{4 x}{x ^{3} + 1} d x

\int (4 x^{2} + 1)^{3} \cdot 8 x d x

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