What is (\partial)/(\partial z)(e^{2z}x+2z) ?

The answer to (\partial)/(\partial z)(e^{2z}x+2z) is xe^{2z}*2+2

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(\partial)/(\partial z)(e^{2z}x+2z)

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

x e^{2 z} \cdot 2 + 2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial z} (2 z) = 2

= x e^{2 z} \cdot 2 + 2

\frac{\partial}{\partial x} (x y ln (x^{2} + 2 y^{2}))

x \to + 0 - lim (e^{\frac{7}{x}})

\frac{\partial}{\partial x} (- \frac{1}{( 10 + x \cdot y )})

x (8^{- 2 x})

What is (\partial)/(\partial z)(e^{2z}x+2z) ?
The answer to (\partial)/(\partial z)(e^{2z}x+2z) is xe^{2z}*2+2