The directional derivative of f(x,y, z)=y e*z + z² at the point (0, -10, 2) 2 in the direction of U = -k Note: Write down only the final answer round it to the nearest whole number

Q: Speed is the derivative of the position function x = x (t) in relation to time t. What is the…

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Q: The maximum value of directional derivative of f in the direction of b is given by .. (a)Vf.6 (b) Vf…

A: We need to tell the maximum value of the directional derivative of f in the direction of b^.  The…

Q: Calculate the derivative indicated in the figure below

A: rs=s, 2s, s2

Q: Consider the curve implicitly defined by: xey - y² = -3. i. Show using implicit differentiation that…

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Q: Let M (2,1,3) and N(5,5,15) be two points. Find the derivative of the function f (x, y, z) = xy + yz…

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Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: (u(t)xv(t)) = 00)

A: Given that the expression

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

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Q: f(x) = x³ - 5ex + 7x Find the first 2 values of the derivative vector when the derivative of the…

A: Given: The function, fx=x3-5ex+7x.   To Find: The first 2 values of the derivative vector when the…

Q: 2.2 Vx + y = 1 + x*y²

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Q: nd the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(-1,-1,-3);…

A: We have used definition of the directional derivative.

Q: The derivative of ƒ(x, y) at P0(1, 2) in the direction of i + j is 2sqrt(2) and in the direction of…

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Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows: