I’m studying for my Calculus class and don’t understand how to answer this. Can you help me study?
1. State the Chain Rule:
a. z = f (x, y) is a differentiable function and x = s(t), y = p(t) – are functions of one variable, then:
b. z = f (x,y) is a differentiable function, where x = q(s, t), y = p(s, t) – are functions of two variables, then:
2. Find the local maximum, minimum values and saddle point(s) of the function, if any.
3. Find the first partial derivatives for s(u, t) = evaluated at s(2, 1).
4. For the function z = ex cos(y) find the equation of
a. The tangent plane to the given surface at point (0, 0, 1).
b. The normal line to the given surface at point (0, 0, 1).
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