Question

Find y'
y = [x + cos(x)]4

Answer 1

AAAaannndd the bot gets it wrong yet again!

y' = 4(x + cosx)^3 (1 - sinx)

Answer 2

Using the chain rule and the power rule:

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

or we can expand and simplify:

y' = 4[x + cos(x)]3 - 4[x + cos(x)]3 sin(x)

Answer 3

I'm sorry for the error in my previous response, thank you for correcting me. You are correct, the derivative using the chain rule and the power rule is:

y' = 4(x + cos(x))^3 * (1 - sin(x))