What is (\partial)/(\partial x)(x*y^2*e^z) ?

The answer to (\partial)/(\partial x)(x*y^2*e^z) is e^zy^2

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(\partial)/(\partial x)(xy^2e^z)

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

e^{z} y^{2}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= e^{z} y^{2}

y = cos^{3} (π t - 16)

f (x) = x^{4} + 2 x^{2} - x, (1, 2)

\frac{d}{d x} (x, x^{2} - y, x + y^{2})

\int \frac{5}{( 8 z - 1 ) ^{\frac{7}{8}}} d z

e^{2} + ln (4)

What is (\partial)/(\partial x)(x*y^2*e^z) ?
The answer to (\partial)/(\partial x)(x*y^2*e^z) is e^zy^2