: This chapter focuses on optimization, including finding relative extrema and using Lagrange Multipliers to solve constrained optimization problems.
If $\vecr(t) = \langle f(t), g(t), h(t) \rangle$: $$\vecr'(t) = \langle f'(t), g'(t), h'(t) \rangle$$
$$\nabla f = \langle f_x, f_y \rangle$$
If $z = f(x, y)$ and $x=x(t), y=y(t)$: $$\fracdzdt = \frac\partial f\partial x\fracdxdt + \frac\partial f\partial y\fracdydt$$
مواقع التواصل الأجتماعي