# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

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

Learn how to solve sum rule of differentiation problems step by step online.

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

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(e^(8x)+4x+e^(8x)) using the sum rule. Combining like terms e^{8x} and e^{8x}. The derivative of a sum of two functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function.

$16e^{8x}+4$
$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$

### Main topic:

Sum rule of differentiation

### Time to solve it:

~ 0.05 s (SnapXam)