What is (\partial)/(\partial x)(3xz^3e^{y^2}) ?

The answer to (\partial)/(\partial x)(3xz^3e^{y^2}) is 3e^{y^2}z^3

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(\partial)/(\partial x)(3xz^3e^{y^2})

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

3 e^{y^{2}} z^{3}

Solution steps

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

Treat

z, y

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= 3 z^{3} e^{y^{2}} \cdot 1

Simplify

= 3 e^{y^{2}} z^{3}

\int (ln (2 x))^{2} d x

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

\int x (x + 3) d x

\frac{x}{x - 6}

f (x) = (x^{3} + 1) e^{x}

What is (\partial)/(\partial x)(3xz^3e^{y^2}) ?
The answer to (\partial)/(\partial x)(3xz^3e^{y^2}) is 3e^{y^2}z^3