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

The answer to (\partial)/(\partial x)(2e^{2x}) is 4e^{2x}

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

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

4 e^{2 x}

Solution steps

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

Take the constant out:

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

= 2 \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

= 2 e^{2 x} \cdot 2

Simplify

= 4 e^{2 x}

f (x) = x (x^{3} + 2 x + 3)

y^{^{''}} = a^{2} y

\int \frac{18}{x ( x ^{2} + 4 ) ^{2}} d x

4 - x, - 2, 6

\int \frac{e ^{3 x}}{1 + e ^{3 x}} d x

What is (\partial)/(\partial x)(2e^{2x}) ?
The answer to (\partial)/(\partial x)(2e^{2x}) is 4e^{2x}