Use the Product Rule to evaluate and simplify d/dx((x-3)(4x+2)).

asked Jan 14, 2024 118k views

1 vote

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6 votes

Answer:

8x - 10

Explanation:

Let
f(x)=x-3 and
g(x)=4x+2 , hence,
f'(x)=1 and
g'(x)=4 :

$\displaystyle (d)/(dx)f(x)g(x)=f'(x)g(x)+f(x)g'(x)=1(4x+2)+(x-3)\cdot4=4x+2+4(x-3)=4x+2+4x-12=8x-10$

MiJyn answered Jan 18, 2024

by MiJyn

8.6k points

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