11.3: Turn in
A contour map is given for function f. Use it to estimate f(2,1) and f(2,1).
2. If f(z,y) = 4-0-4y^2, find fz(1,0) and fy(1,0) and interpret these numbers as slopes. Illustrate with either hand-drawn sketches or computer plots.
Find the first partial derivatives of the function: f(s,t) = st^2/(s^2 + 2).
Find the first partial derivatives of the function: f(y) = arctan(sqrt(t)).
Find the first partial derivatives of the function: f(x,y) = ln(x^2 + y^2).
Find the first partial derivatives of the function: f(x,y,z,t) = (r^2)(t + 22).
Find the indicated partial derivatives: f(u,v,w) = w*tan(u*v): 6*(2,0,3).
Find the indicated partial derivative: f(r,s,0) = r*ln(r*s^2); frst frst.