Questions from General Calculus

Q: Find the directional derivative of f (x, y, z

Find the directional derivative of f (x, y, z) = xy2z3 at P (2, 1, 1) in the direction of Q (0, -3, 5).

Q: Find the local maximum and minimum values and saddle point(s

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the impor...

Q: Find the maximum rate of change of f at the given point

Find the maximum rate of change of f at the given point and the direction in which it occurs. f (s, t) = test, (0, 2)

Q: Find the maximum rate of change of f at the given point

Find the maximum rate of change of f at the given point and the direction in which it occurs. f (x, y) = sin(xy), (1, 0)

Q: Find the maximum rate of change of f at the given point

Find the maximum rate of change of f at the given point and the direction in which it occurs.

Q: Find the maximum rate of change of f at the given point

Find the maximum rate of change of f at the given point and the direction in which it occurs. f (x, y, z) = x/ (y + z), (8, 1, 3)

Q: Find the maximum rate of change of f at the given point

Find the maximum rate of change of f at the given point and the direction in which it occurs. f (p, q, r) = arctan (pqr), (1, 2, 1)

Q: Use Equation 6 to find dy/dx. Equation

Use Equation 6 to find dy/dx. Equation 6: y cos x = x2 + y2

Q: Find the directions in which the directional derivative of f (x

Find the directions in which the directional derivative of f (x, y) = x2 + xy3 at the point (2, 1) has the value 2.

Q: Use Equation 6 to find dy/dx. Equation

Use Equation 6 to find dy/dx. Equation 6: tan-1(x2y) = x + xy2