What is (\partial)/(\partial y)(xyzsqrt(x)) ?

The answer to (\partial)/(\partial y)(xyzsqrt(x)) is zx^{3/2}

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(\partial)/(\partial y)(xyzsqrt(x))

\frac{\partial}{\partial y} (x yz x)

z x^{\frac{3}{2}}

Solution steps

\frac{\partial}{\partial y} (x yz x)

Simplify

x yz x : yz x^{\frac{3}{2}}

= \frac{\partial}{\partial y} (yz x^{\frac{3}{2}})

Treat

z, x

as constants

Take the constant out:

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

= z x^{\frac{3}{2}} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= z x^{\frac{3}{2}} \cdot 1

Simplify

= z x^{\frac{3}{2}}

- ln (1 - x^{2})

\frac{d}{d x} (\frac{x}{753600 x ^{2} + 900})

y = 4 x + 4, y = 5 x + 5, x = 2

\int \frac{2 x - 1}{x ^{2} ( x + 3 )} d x

x \to 0 lim (\frac{( 2. 7 ^{x} - 1 )}{x})

What is (\partial)/(\partial y)(xyzsqrt(x)) ?
The answer to (\partial)/(\partial y)(xyzsqrt(x)) is zx^{3/2}