What is (\partial)/(\partial x)(x(5z^4-4y^3)) ?

The answer to (\partial)/(\partial x)(x(5z^4-4y^3)) is 5z^4-4y^3

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(\partial)/(\partial x)(x(5z^4-4y^3))

\frac{\partial}{\partial x} (x (5 z^{4} - 4 y^{3}))

5 z^{4} - 4 y^{3}

Solution steps

\frac{\partial}{\partial x} (x (5 z^{4} - 4 y^{3}))

Treat

z, y

as constants

Take the constant out:

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

= (5 z^{4} - 4 y^{3}) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= (5 z^{4} - 4 y^{3}) \cdot 1

Simplify

= 5 z^{4} - 4 y^{3}

\frac{d}{d t} (4 e^{t} cos (t))

x \to 0 lim (\frac{x ^{3} - 8}{x + 2})

\frac{d}{d t} (sin (4 t))

f (x) = e - 1

- \frac{y}{x ^{2}} d x + \frac{1}{x} d y = 0

What is (\partial)/(\partial x)(x(5z^4-4y^3)) ?
The answer to (\partial)/(\partial x)(x(5z^4-4y^3)) is 5z^4-4y^3