Suppose that f (x, y) = 4e%* sin y. Find the directional derivative of f(x, y) in the direction of - 1, -4) and at the point (z, y) =(4, Find exact values. No decimals

Q: y=8sin(x)cos(x) ; x=pi/3

A:

Q: 4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

A:

Q: Calculate the derivative using implicit differentiation: ∂w/∂z,x^3w+w^7+wz^2+2yz=0 ∂w/∂z = ?

A: To find the implicit derivative of the given equation.

Q: If the acceleration of a particle is given by ä = sint i+ cost +e k, find the relity and position…

A: The acceleration of a particle is…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = In(cos(In 0)) %3D

A:

Q: Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the ection.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5

A:

Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized? |

A:

Q: Find the first part ial derivatives of f (x, y) = 3y sin(x? +y?).

A:

Q: Find the directional derivative of f(x, y) 12x at P(4,0) in the x + y direction of Q(1,–1). NOTE:…

A:

Q: Find the Directional derivative of Hhe function fcauy.)= n (x好) 1- aut point (1,2,1) in the…

A:

Q: If sin(5x - 5y + z) = 0, use implicit differentiation to find the first partial derivatives with…

A:

Q: Suppose that f(x, y) the point (x, y) = (2, – 6) is = xy. The directional derivative of f(x, y) in…

A:

Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Calculate the derivative of y with respect to x, if x/2 +y 3/2 = 7. dy dx

A:

Q: What is the directional derivative of f(x,y)= 2x²+3y² at the point (1,1) in the direction of v =i-j?…

A:

Q: Find the derivative of f (z) = (2° – 5z) (2² + 6z – 6). a va la sin (a) f' (포) 3DD Please explain,…

A:

Q: Determine the derivative of the function defined by h(x,y) = Arctan (2) + V3Arcsin () at the point…

A:

Q: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i -3j b)…

A:

Q: find the first order derivative of y=sin 0.5√x/x at x=8, h=0.2 a. Forward difference B. Backward…

A:

Q: 8y If the directional derivative of f(x,y)%D at (2,1) in the direction of (2a,-3) is equal to zero,…

A:

Q: The directional derivative of f(z, V, z) =y-vz at the point (2, 1,1), in the direction of the…

A: We have to find directional derivative of given function f in the direction of tangent line of the…

Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x =…

A:

Q: Find the derivative w = sin* y cos*y a. sin³ 2y cos 2y b. sin² 2y cos 2y c.sin 2y cos 2y d. sin 2y…

A:

Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized?

A:

Q: Find the directional derivative of f(x, y) = V5x + 3y at the point (0, 2) in the direction 0 3…

A: f(x,y) = 5k+3yt point (0,2)in direction θ= 5π4 radiusto find directional derivativesolution1)…

Q: Calculate the derivative using implicit differentiation: ∂w/∂z,…

A:

Q: Find the derivative of the function f(x, y) = 2x² – y² at the point M = (1, 1) in the direction…

A: We have to find the derivative of the function fx,y=2x2-y2 at the point M=1,1 in the direction…

Q: Find the directional derivative of k(r, y) = 3edr sin(y) at the point (0, ) in the directi

A:

Q: Compute the derivative of h(sinx) at x = π,/6 , assuming that h' (0.5) = 10.

A: We have to compute the derivative of function hsin x at x=π6, assuming that h'0.5=10. We know the…

Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…

A:

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: compute the derivatives indicated. F (0, u, v) = sinh(uv+0² ), Fuuð

A: To compute: The derivative Fuuθ. Given information:  The function is Fθ,u,v=sinhuv+θ2. Concept used:…

Q: Suppose that f(x, y) = x°y. The directional derivative of f(x, y) in the directional (– 2, – 1) and…

A: Explained below

Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: Find the equation of the line tangent to xy+ 4y = 2 at (2,-1) Hint: Use implicit %3D…

A:

Q: Find the directional derivative of f(x, y) = 3x² - y² + 5xy at (2,-1) in the direction of -3i - 4j.

A: given function f(x,y)=3x2-y2+5xy given point (2, -1) given direction u→=-3i-4j We have to find the…

Q: e derivative of y with respect to x. y= 2sin^-1(5x^4

A: we have to find the derivative of y with respect to x.y=2sin-1(5x4)

Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx

Q: If Va + Vy = 6 and y(25) = 1, find y' (25) by implicit differentiation. %3D %3D

A:

Q: 26. х3 + уз %3D бху — 1, (2, 3)

A:

Q: B: Use the Chain Rule to find the derivative of f(x,y) = xy with respect to (t) along the path y =…

A:

Q: Find the directional derivative of f(x, y) = ln(sqrt(x^2+y^2))  at (x, y) does not equal (0, 0)…

A: Since we have to find directional derivative of function f(x,y)  at (x,y)  toward the origin-…

Q: 15 /(х. у) 2гу-Зх, Р % (2, 1), - (3,2)

A:

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Given: y=∫x22x2lnt dt

Q: Find the values of x on [0, 2 ) π where the tangent line of f x( ) be horizontal. y=e^-x (cosx)

A:

Q: Find the derivative of y with respect to propriate variables. - y = sech0(1 –- In(sech0)) y = 4Vx…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

A:

Q: Find the maximum directional derivative of the function f(x.y) = x In y + x2y2 at the point (-1,1).…

A:

Q: Consider the function g defined by 1 g(x, y) = cos (Ta VT)+ log3(x - y) Do as indicated. In what…

A: