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- Find the directional derivative of w=2x²yz in the direction of v=3i-4j at the point (-1, 1.13)1. Find the directional derivative of the scalar function yzx^2 + 4xz^2 at the point P(1,-2,-1) in the direction of PQ, where Q = (3,-3,-3). fThe directional derivative of o = 5x2y – 5y2z + 2.5z2x at the point P(1, 1, 1) in the direction of the line * X-1 2 y-3 = Z -2
- Use directional derivative definition to find derivative of V3 - f(x, y) = x² + y² at the direction of ū i+÷j at the point 2 (1,2).find the first and the second derivative of these equation , first as a function of z then as a function of t. f1(z, t) = A e-b(z-vt)2 , f2(z, t) = A sin[b(z − vt)] , f3(z, t) = A /b(z − vt)2 + 1 f4(z, t) = A e-b(bz2+vt) , and f5(z, t) = A sin(bz) cos(bvt)3Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po(3,-3,-2), A=6i+3j-2k (DA) (3.-3.-2)=(Simplify your answer.)