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

The answer to (\partial)/(\partial x)(e^{2x}y) is ye^{2x}*2

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

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

y e^{2 x} \cdot 2

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= y e^{2 x} \cdot 2

\frac{\partial}{\partial x} (x^{2} + 4)

y = 8 x^{\frac{1}{2}} + 4 x^{\frac{3}{2}} + 4

x \to \infty lim (\frac{x - cos ( x )}{x})

\int \frac{- x}{( x + 1 ) - x + 1} d x

y = x^{2} - 8 x - 6

What is (\partial)/(\partial x)(e^{2x}y) ?
The answer to (\partial)/(\partial x)(e^{2x}y) is ye^{2x}*2