Answered: Compute the directional derivative of…

Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17, 8/17). Be sure to use a unit vector for the direction vector.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

See similar textbooks

Related questions

Q: Suppose that f(r, y) ry. The directional derivative of f(x, y) in the directional (1, - 1) and at…

A: directional derivative f(x,y) = adf/dx +bdf/dy (a,b) = (1,-1) df/dx = y df/dy = x directional…

Q: Find the directional derivative of f(x, y, z) = -4x? + ly? – 4z2 at the point (0, -4, 2) in the…

A: Given function

Q: What is the directional derivative of f(x, y, z) = bx²y²z² + x² + y² + z² in the direction of v =…

Q: Find the directional derivative of the function f(, y) = In(x + y°) at the point (- 1,3) in th…

Q: Compute the directional derivative of the function g(x,y) = sin (x(4x – 5y)) at the point P(3, – 3)…

Q: Find the directional derivative off at the given point in the direction indicated by the angle 0.…

Q: Find the directional derivative of f(x, y) = 3x2 − 2y2 at (−3/ 4, 0) in the direction from P(−3/4,…

A: The directional derivative is the scalar product of the derivative of the function to the vector…

Q: Find the directional derivative of f(x,y) = 2x –y´ at the point (1, 3) in the direction toward the…

A: We have given f(x, y) = 2√x – y2 and the point (1, 3).

Q: Find the derivative of the vector function below r(x ) = sin²(sec.x 2)i +csc³(Vx ² +1) j +8tan(x -k

Q: Find the diectional derivative of the function f (xiy,z)= sin (xy+2) at the point of P(1, al2 x4) a…

Q: Suppose that f (1,2) = 3 and that the directional derivative of f at point (1,2) in the direction of…

A: Given : f1,2=3 and the directional derivative of f at 1,2 in the direction of the vector i+j is…

Q: Find the directions in which the directional derivative of f(x,y) = x^2 + xy^3 at the point (2,1)…

Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =< −3, 7 > at the…

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1,…

Q: 3. Prove that the directional derivative of f(x, y) = y² + 2xy³ + x³y² at point (0.1) in the…

Q: Find the direction derivative of f(x, y, z) = x²y - zx -yx point (1,-1,1) in the direction 3i+4k %3D…

Q: Find the directional derivative of f(x, y) = In(e"- 3y) at the point (0,0) in the direction of 3i +…

A: We are asked to find directional derivatives of function.

Q: Find the directional derivative of the function f(x,y,z) = tan (xýz) At point (1,2,3) İin the…

A: The solution is given as

Q: . Find the directional derivative of y fx, у, 2) x+ z at P(2, 1, – 1) in the direction from P to…

A: NOTE: Refresh your page if you can't see any equations. . the given direction is P to Q find the…

Q: Compute for the directional derivative of f (x,y,z) = tan (ax – 2ny)e4y-z at the point (,0, ln 4) in…

Q: 4. Determine the directional derivatives of $(x, y) = tan"2+3 sin ). at the point (1,1) in the…

Q: Find the unit vector towards the tangent of the curve y = x at x =1

Q: Find the directional derivative of the function f(, y) = In(x +y°) at the point (- 1,3) in the…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Use the gradient of function for finding the directional derivative.

Q: Calculate the directional derivative of f(x,y)= In( Vx +y ) at point (1,1) in the %3D direction of v…

Q: find the directional derivative of the function in the direction of the vector u = cos i + sin j

A: Consider the given function, fx,y=sin2x+y Here we need to find the directional derivative of the…

Q: Suppose that f(I,2) =3 and that the directional derivative of fat point (1,2) in the direction of…

A: Thr given problem is to estimate the value of f(1.1,2.1) with given values f(1,2)=3 and directional…

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

Q: Find the directional derivative of f(x, y) = 10 − 3x^2 + (y^4)/4 at P(2, −3) in the direction of the…

Q: Find the directional derivative of the function f(x, y) =1+5zj at the point (5, 1) in the direction…

Q: Find the two-unit vectors that are parallel to the tangent line to the curve y =x2sin(x) at the…

Q: Find the derivative of the vector function below r(x ) = sin°(secx ²)i +csc°(Vx² +1)j +8tan(x -)

Q: Find the directional derivative of f(x, y, z) = xy + z 3 at the pointP = (3, -2, -1) in the…

A: fx, y, z=xy+z3, P=3, -2, -1. Now, ∂f∂x=y·1+0=y∂f∂y=x·1+0=x∂f∂z=0+3z2=3z2 Now, ∇fx, y, z=∂f∂x, ∂f∂y,…

Q: The directional derivative of xy f(x, y) = x + y) at (1, 1) in the direction of the unit vector at…

Q: Find the directional derivative of the function f(x, y) = 1+5x/ at the point (5, 1) in the direction…

Q: Find the directional derivative of f(z, y) = In(e" - 3y) at the point (0,0) in the direction of 3i +…

Q: Find the derivative of f(x, y, z) = x3 - xy2 - z at the point po (2,1,0) in the direction of vector…

A: Given the function f(x, y, z)=(x3-xy2-z).........(1) We have to find the derivative of the function…

Q: The directional derivative of xy f(x, y) = V2 (x + y) at (1, 1) in the direction of the unit vector…

A: We have , f(x , y) = xy2x + y We know that , directional derivative at any point x , y is defined…

Q: Compute the directional derivative of the function f(x,y) = - xy + y at the point P(0, - 9) in the…

A: Solution-

Q: Find the directional derivative of f(x,y) v = 3i – 4j. x² sin 2y at (1, 7/2) in the direction of |

Q: Find the directional derivative of function f(x,y)=x*e" at the point (1,1) and direction of vector…

Q: Find the directional derivative of the function f(x, y) = In(x + y²) at the point (1, - 1) in the…

Q: If asked to find the directional derivative of f(r, y) in the direction of a NON unit vector (a…

Q: Find the directional derivative of ø = x² + y² + z² at point (1, 2, 1) for a direction determined by…

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y*) at the point (2, 1) in the…

A: we will find the directional derivative

Q: Find the directional derivative of the function f(x, y) = In(x² + y*) at the point (– 3, – 1) in the…

Q: Calculate the directional derivatives of the function f(x,y) = x² – y? in the direction of the…

Q: Find the directional derivative of the function f(x, y) = In(x + y?) at the point (– 1, – 2) in the…

Q: 3. Find the directional derivative of the function f (x, y)= sin (xy) at a point -2i +j in the…

A: The given function: f(x, y)=sin2(xy)P=34, πu→=-2i^+j^5

Question

Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17, 8/17). Be sure to use a unit vector for the direction vector.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
find the directional derivative of the function in the direction of the vector v
Find the directional derivative of g(a, b) = cos(3a + 4b) at the π point ( along the direction of the vector (-4,-3)
Evaluate the directional derivative Duf (2, 3) if ƒ (x,y) and T2 - y u is the unit vector in the same direction as (-3, 4).
Find the directional derivative of the function at the given point in the direction of the vector v.
At the point P=(4,1) in the direction v =(i +j )/sqrt2, the directional derivative is approximately
Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at point(1,-1) in direction of the vector which subtends an angle of pi/6 with the positive x-axis.
Compute the directional derivative of the function g(x,y) = sin((5x - 4y)) at the point P(3,3) in the direction vector. The directional derivative is (Type an exact answer, using as needed.) C Be sure to use a unit vector for the direction
Compute the directional derivative of the function goxy)=sin(x(3x - 4y)) at the point P(1.-3) in the direction (5) Be sure to use a unit vector for the direction vector The directional derivative in (Type an exact answer, using x as needed) HERES
2. Find the directional derivative of 9 = yx? +x?z + 3xyz in the direction of vector n = Î + 2ŷ -? .
Find the derivative of the function at the given point in the direction of the vector (v).
What is the definition of the directional derivative for afunction of two variables, f (x, y)? Be sure to include thewords “unit vector” in your definition.