What is (\partial)/(\partial x)(x*sin(4*y*z^4)) ?

The answer to (\partial)/(\partial x)(x*sin(4*y*z^4)) is sin(4yz^4)

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(\partial)/(\partial x)(xsin(4y*z^4))

\frac{\partial}{\partial x} (x \cdot sin (4 \cdot y \cdot z^{4}))

sin (4 y z^{4})

Solution steps

\frac{\partial}{\partial x} (x sin (4 y z^{4}))

Treat

y, z

as constants

Take the constant out:

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

= sin (4 y z^{4}) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= sin (4 y z^{4}) \cdot 1

Simplify

= sin (4 y z^{4})

What is (\partial)/(\partial x)(x*sin(4*y*z^4)) ?
The answer to (\partial)/(\partial x)(x*sin(4*y*z^4)) is sin(4yz^4)