Use the Product Rule to find the derivative of the function.

You need to
use the product rule to evaluate
the derivative of the function, such that:

t)'(1 - t^2) + (sqrt t)(1 - t^2)'

t^2)/(2
sqrt t) - 2t*sqrt t

Hence, evaluating the
derivative
of the function, using the product rule, yields
t^2)/(2 sqrt t) - 2t*sqrt t.