MATH 264 Lecture 9: Math 264 Lecture 9 Notes

If z = f(x, y) and fx(5,3) = 3, fy(5,3) = -5, find dz/dt at t = 2 when x = g(t), y = h(t) and g(2) = 5, g'(2) = 5. h(2) = 3, h'(2) = 2.

2. (5) Let F(z) = cos(H) dt. Compute·d[FWT)] COS

6. Use Part I of the Fundamental Theorem of Caleulus to find the derivative of the following funetions: (a) G(x)-(2+t)6 dt (b) F(z) =£cos(ts) dt (d) Y(z) / sin"(t)dt (e) A(z)- Esin(H) dt