What is (\partial)/(\partial x)(5e^{2x}) ?

The answer to (\partial)/(\partial x)(5e^{2x}) is 10e^{2x}

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(\partial)/(\partial x)(5e^{2x})

\frac{\partial}{\partial x} (5 e^{2 x})

10 e^{2 x}

Solution steps

\frac{\partial}{\partial x} (5 e^{2 x})

Take the constant out:

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

= 5 \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

= 5 e^{2 x} \cdot 2

Simplify

= 10 e^{2 x}

y = \frac{x ^{4}}{4} + \frac{2}{9} x^{3} - x^{2} + 9 x - 5

\frac{( 2 x )}{1 + x ^{4}}

7 - 4 x

\frac{d}{d x} (e^{4 x s i n (2 x)})

cot^{2} (x)

What is (\partial)/(\partial x)(5e^{2x}) ?
The answer to (\partial)/(\partial x)(5e^{2x}) is 10e^{2x}