Find the derivative and simplify. y = (8x + 7)(x² – 3x).

Question

asked Feb 24, 2020 78.8k views

1 Answer

Dope · Answer 1 · 2020-02-28T14:57:34+0000

Answer:

The derivative is
y'=24x^2-34x-21

Explanation:

Given : Equation
y = (8x+7)(x^2-3x)

To find : The derivative and simplify ?

Solution :

y = (8x+7)(x^2-3x)

First we simply the product,

y = (8x)(x^2)-(8x)(3x)+7(x^2)+7(-3x)

y = 8x^3-24x^2+7x^2-21x

y = 8x^3-17x^2-21x

Derivative w.r.t. x,

(dy)/(dx) =(d)/(dx)(8x^3-17x^2-21x)

y'=24x^2-34x-21

Therefore, The derivative is
y'=24x^2-34x-21