Find dy/dt.

Question

y=cos^4(pi(t)-20)

If you could please show step-by-step, it would be much appreciated. Thanks in advance!

Answer 1

y = cos^4(pi*t-20)
Note that the derivative of cos(x) = -sin(x) and the derivative of x^n = n*x^(n-1). We'll apply them here, and we'll also use chain rule.
dy/dt
= 4 * pi * cos^3 (pi*t - 20) * (-sin (pi*t - 20))

Hope this helps~ :3

Answer 2

Thanks for the help :)