Answer:
Below in bold.
Step-by-step explanation:
Using the product rule:
dy/dx = (1 - x)* d (x² - 4)²/dx + (x² - 4)² * -1
Differentiate (x² - 4)²:-
Using the Chain Rule:
this = 2(x² - 4) * 2x
= 4x(x² - 4)
So substituting the above we have
dy/dx = (1 - x)4x(x² - 4) + (x² - 4)² * -1
= (1 - x)4x(x² - 4) - (x² - 4)²
= (x² - 4)(4x(1 - x) - (x² - 4))
= (x² - 4)(4x - 4x² - x² + 4)
= (x² - 4)(-5x² + 4x + 4)
= -(x² - 4)(5x² - 4x - 4) Answer
this expanded is
-5x⁴ + 4x³ + 24x² - 16x - 16 Answer.
