Question

find the derivative of f(t) =cos(sqrt(t))

Answer 1

so we will use the chain rule for this
derivative of cos = -sin
derivative of t^(1/2)=(1/2)t^(-1/20
apply chain rule so
-sin(t^(1/2)*((1/2)*t^(-1/2))
=(-sin(t^(1/2))/(2*t^(1/2))