Question

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

Answer 1

Answer:

The derivative is $y'=24x^2-34x-21$  

Step-by-step 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,

$\frac{dy}{dx} =\frac{d}{dx}(8x^3-17x^2-21x)$

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

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