Question

What is the derivative of `f(t) = (tsint , t^2-tcost )`?

Answer 1

`f'(t)=((t sin t )', (t^2)', (-t cos t )')=(sint+t cos t, 2t, -cost+t sin t)`

Explanation:

Use product rule.

Also, `(t^n)'=nt^(n-1), (sin t)'=cos t and (cos t)'=-sin t`.