Find the directional derivative of the function at the given point in the direction of the...

Find the directional derivative of the function at the given point in the direction of the vector v. ? = (2? + 3?)2, ? ⃑ = 1 2 ? ⃑+ √3 2 ? ⃑, (-1,1,1)

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

A) Find the directional derivative of the function at the given point in the direction of...

A) Find the directional derivative of the function at the given point in the direction of vector v. f(x, y) = 5 + 6x√y, (5, 4), v = <8, -6> Duf(5, 4) = B) Find the directional derivative, Duf, of the function at the given point in the direction of vector v. f(x, y) =ln(x2+y2), (4, 5), v = <-5, 4> Duf(4, 5) = C) Find the maximum rate of change of f at the given point and the direction...

Find the directional derivative of f at the given point in the direction indicated by the...

Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = y cos(xy), (0, 1), θ = π/4 Duf(0, 1) =

The directional derivative of a function F(x,y) at a point P (1,-3) in the direction of...

The directional derivative of a function F(x,y) at a point P (1,-3) in the direction of the unit vector - 3/5 i + 4/5 j is equal to - 4 while its directional derivative at P in the direction of the unit vector (1/root5) i + (2/root5) j is equal to 0. Find the directional derivative of F(x,y ) at P in the direction from P(1,-3) towards the point Q(5,0).

Find the directional derivative of f(x,y)=arctan(xy) at the point (-2,5) in the direction of maximum decrease.

Find the directional derivative of f(x,y)=arctan(xy) at the point (-2,5) in the direction of maximum decrease. What is the Domain and Range of f(x,y)=arctan(xy)?

1. (a) Find the directional derivative of f at (2,1) in the direction from (2,1) to...

1. (a) Find the directional derivative of f at (2,1) in the direction from (2,1) to (6,-2). Show your work clearly. (b) Find a unit vector u such that the directional derivative of f in the direction of u at (2,1) is zero. Show all work required to justify your answer.

Find the directional derivative of a funtion f(x,y,z)=x^2+e^xyz at point P(1,0,2) in the direction from P...

Find the directional derivative of a funtion f(x,y,z)=x^2+e^xyz at point P(1,0,2) in the direction from P to Q (1,1,1). is this max rate of change ?

1. For z=x^2-xy^2 find: a. the gradient for z; b. the directional derivative in direction of...

1. For z=x^2-xy^2 find: a. the gradient for z; b. the directional derivative in direction of <3,-1>; c.the approximation for Δz when taking a Δs =0.05 step from (1,2) in direction of <3,-1>; d. the approximation to the maximum Δz possible when taking a Δs =0.05 step from (1,2).

Derivative of a function at a point.

If, f(x) = 7x+7–4x^2then find the derivative f'(1).

Compute the directional derivative of T(x,y,z)=200e^(-x^2-3y^2-9z^2) at the point (2,-1,2) in the direction toward the point...

Compute the directional derivative of T(x,y,z)=200e^(-x^2-3y^2-9z^2) at the point (2,-1,2) in the direction toward the point (3,-3,3). What is the maximum rate of change of T at the point (2,-1,2)? I have solve this by mathematica...

Find the derivative of the function.

Find the derivative \( f'(x) \) where \( f(x)=x^2 \).

Subjects