find all first partial derivatives f(x,y)= 5x^3+4y-3 Find all first partial derivatives. f(x, y) = 5x3 + 4y - 3 f(x,y) = f(x,y) =
(1 point) Find the partial derivatives of the function f(x, y)cos(12 3t 6) dt
QUESTIUN 4 Find the first partial derivatives of f(x, y) with respect to each of the independent variables x and y. f(x, y) = 9x - 7y2-5 E = 9; = -14y O = 4; - -149 -5
Find the first partial derivatives with respect to x, y, and z. W = x/yz4 + xy - 4yz
Find all second order partial derivatives of f(x, y) = (x² +3y)
6 of 15 (complete) Find all the second-order partial derivatives of the function f(x,y) - 7x + y + xy (Simplify your answer) dyche (Simply your answer) 21 dy (Simplify your answer (Simply your answer Enter your answer in each of the answer boxes
(b) Find the directional derivative of f(x, y, z) = xy ln x – y2 + z2 + 5 at the point (1, -3,2) in the direction of the vector < 1,0,-1>. (Hint: Use the results of partial derivatives from part(a))
4. (5 points) (a): Find all second partial derivatives of f(x, y) = re-2ry, (b): Find dw/dt at t = 1 if w = re + y sin z - cosz, r= 2/t, y=t-1+ lnt, and 2 = t.
1. Find the first and second partial derivatives: A. z=f(x,y) = x2y3 - 4x2 + x2y-20 B. z=f(x,y) = x+ y - 4x2 + x2y-20 2. Find w w w x2 - 4x-z-5xw + 6xyz2 + wx - wz+4 = 0 Given the surface F(x,y) = 3x2 - y2 + z2 = 0 3. Find an equation of the plane tangent to the surface at the point (-1,2,1) a. Find the gradient VF(x,y) b. Find an equation of the plane...
Use the limit definition of partial derivatives to compute the partial derivative of the function f(x,y) = 6 - 6x + 5y - 3x2y at a point (3,4). a. Find f,(3,4). b. Find f(3,4). 1,(3,4)=0 (Simplify your answer.) 12(3,4)=0 (Simplify your answer.)