What is (\partial)/(\partial y)(ye^z) ?

The answer to (\partial)/(\partial y)(ye^z) is e^z

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(\partial)/(\partial y)(ye^z)

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

e^{z}

Solution steps

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

Treat

z

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{z} \cdot 1

Simplify

= e^{z}

\frac{d y}{d x} + x y = x y^{- 3}

x \to - 4 π lim (1 + csc (x))

x^{2} - 6 x, - x^{2} + 2 x

y = x - 6

\int 5 x^{4} - 7 x^{6} - 3 x^{2} d x

What is (\partial)/(\partial y)(ye^z) ?
The answer to (\partial)/(\partial y)(ye^z) is e^z