Question

(x⁴–3x² - 4)/ defferentiat x
(X-2)​

Answer 1

Answer:

given: (x⁴ - 3x² - 4)/(x - 2)

to find the derivative

Step-by-step explanation:

=> (x⁴ - 4x² + x² - 4) / (x-2)

=> x² (x²- 4) + 1(x² - 4) / (x - 2)

=> (x² + 1)(x² - 4) / (x - 2)

=> (x² + 1)(x + 2)(x - 2) / (x -2)

=> (x² + 1)(x + 2)

=> x³ + 2x² + x + 2

=> d(x³ + 2x² + x + 2)/dx

=> d(x³)/dx + 2d(x²)/dx + d(x)/dx + d(2)/dx

=> 3x² + 4x + 1 Answer