- Calculus, Volume 1: One Variable Calculus, with an Introduction to Linear Algebra
- Tom M. Apostol
- Second Edition
- 1967
- 978-1-119-49673-1
14.4 Exercises
- Compute the derivatives $F'(t)$ and $F''(t)$ for: $F(t) = (t, t^2, t^3, t^4)$
- Using the power rule of derivatives: \begin{align*}F'(t) &= (1, 2t, 3t^2, 4t^3)\\F''(t) &= (0, 2, 6t, 12t^2)\end{align*} Note: the back-of-book solution has a typo which says $$F'(t) = (1, 2t, 3t^2 + 4t^3)$$