Find the derivative of (x+20)(x-8)

 Exercise

$\frac{d}{dx}\left(\left(x+20\right)\left(x-8\right)\right)$

 

Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x+20$ and $g=x-8$

$\frac{d}{dx}\left(x+20\right)\left(x-8\right)+\left(x+20\right)\frac{d}{dx}\left(x-8\right)$

 

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

$x-8+\left(x+20\right)\frac{d}{dx}\left(x-8\right)$

 

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

$x-8+x+20$

$x-8+x+20$

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