y = cos4(x2 - 1)

Question

Calculus Question Find the derivative of each function.

Answer 1

Or when you say cos4(x2 - 1), do you mean cos⁴(x² - 1)?

 

If that's the case, then the answer is different.

 

y = cos⁴ (x² - 1) = [cos (x² - 1)]⁴

 

y' = 4 [cos (x² - 1)]³ * (-sin (x² - 1)) (2x) =

-8x cos³ (x² - 1) sin (x² - 1)

 

 

Answer 2

y'=-sin4(x^2-1)*4*2x