Question

Differentiate the ff y=(2x+5)^2 (x-4)

Answer 1

We have the following expression:

`y=(2x+5)^2(x-4)`

We can use the product rule and we have the following:

`y^(\prime)=2(2x+5)\cdot2\cdot(x-4)+(2x+5)^2\cdot(1)`

Then we can simplify and we have:

`y^(\prime)=(8x+20)(x-4)+(2x+5)^2=8x^2-32x+20x-80+4x^2+20x+25`

If we simplify we got:

`y^(\prime)=12x^2+8x-55`