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Step-by-step Solution

Derive the function e^(8x)+4x+e^(8x) with respect to x

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Answer

$4+16e^{8x}$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$
1

Adding $e^{8x}$ and $e^{8x}$

$\frac{d}{dx}\left(4x+2e^{8x}\right)$
2

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(4x\right)+\frac{d}{dx}\left(2e^{8x}\right)$

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Answer

$4+16e^{8x}$

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$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.33 seconds