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Popular >

(\partial)/(\partial y)(8ze^{xyz})

Solution

\frac{\partial}{\partial y} (8 z e^{x yz})

Solution

8 e^{z x y} z^{2} x

Solution steps

\frac{\partial}{\partial y} (8 z e^{x yz})

Treat

z, x

as constants

Take the constant out:

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

= 8 z \frac{\partial}{\partial y} (e^{x yz})

Apply the chain rule:

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

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

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

= 8 z e^{x yz} z x

Simplify

8 z e^{x yz} z x : 8 e^{z x y} z^{2} x

= 8 e^{z x y} z^{2} x

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\frac{d}{d x} (\frac{x ^{5}}{7})

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

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\int 3 sin^{5} (x) cos^{- \frac{3}{2}} (x) d x

integral of 2/x+3e^x

\int \frac{2}{x} + 3 e^{x} d x

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial y)(8ze^{xyz}) ?
The answer to (\partial)/(\partial y)(8ze^{xyz}) is 8e^{zxy}z^2x