Solution
We have the following expression:
[tex]y=(2x+5)^2(x-4)[/tex]We can use the product rule and we have the following:
[tex]y^{\prime}=2(2x+5)\cdot2\cdot(x-4)+(2x+5)^2\cdot(1)[/tex]Then we can simplify and we have:
[tex]y^{\prime}=(8x+20)(x-4)+(2x+5)^2=8x^2-32x+20x-80+4x^2+20x+25[/tex]If we simplify we got:
[tex]y^{\prime}=12x^2+8x-55[/tex]
