1. Find the directional derivative of the scalar function f = yzx^2 + 4xz^2 at the point P(1,-2,-1) in the direction of PQ, where Q = (3,-3,-3).

Q: Find the direction derivative of f(x.y.z)-xy'z at the point p(3,2,1)in the direction towards…

A: To find the directional derivatives

Q: Find the maximum value of the directional derivative at the point (3, 4) of the function f(x) Round…

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Q: 4. Determine the directional derivative of f(r, y, z) = xe"+rsinz+a²y at the point (2,0, ) in the…

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Q: Find a point on curve y = (x-3)2 where the tangent is parallel to the line joining (4,1) and (3,0)

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Q: directional derivative

A: f(x1y)=Ax2+2Bxy+Cy2∇f(x1y)=(2Ax+2By,2By+2Cy)∇f(a,b)=(2Aa+2Bb,2Bb+2Cb)V=(b,a)||V|| = b2+a2u = V||V||…

Q: the directional d + 3y2 + 5z² at pa

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Q: Investigate the stationary values of f(x, y)=x^4+4x^2y^2-2x^2+2y^2-1

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Q: Find the derivative of y=fG)= Jx3 + x2 * Do not use product quotient rule. or

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Q: Calculate the derivative indicated in the figure below

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Q: Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) =…

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Q: Evaluate the directional derivative of the function f=x^2-y^2+2z^2 at the point A (1,2,3) in the…

A: Point A(1,2,3) and Point B(5,0,4) ⇒AB→=5-1i^+0-2j^+4-3k^=4i^-2j^+k^ Now we have to find the…