The directional derivative of f(x,y,z) = xy²z-2xy² +1 at the point P(3, - 2, 0) towards the origin will be given by OA. 72 13 O B. None of the choices in the list. OC. 72/13 13 OD. 72 13 13 OE. -72 13

Q: If (x, y) moves from (-2, –1) towards (1, 5) for a distance 0.02, then which of the following is…

A: fx,y=exyPoints from−2,−1 towards 1,5 for a distance 0.02

Q: 4–6 Find the directional derivative of f at the given point in the direction indicated by the angle…

A:

Q: 6. The final answer to the following question is incorr Tell me, in your words, about the mistake…

A:

Q: evaluated at x = 0.001 and y = 0.002 Compute the derivative of the following: 5 g(x) =, 2.1'x f(x) =…

A: topic - derivative of a function

Q: 3. Find the value(s) of k for which y = e satisfies the equation y+2y' = y" derivative) (note: y" is…

A: k = 1+2, 1-2explanation is given in below step

Q: 1) Find the directional derivative of f at the given point P in the direction of the point. Q- f(r,…

A:

Q: 11. Find the directional derivative of f at the given point in the direction indicated by the angle…

A:

Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

A: Solve

Q: 1.What is the derivative of f(x)=e8x+3?

A:

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: Both xand y denote functions of t that are related by the given equation. Use this equation and the…

A: difrentiate equation with respect to t and plug all the information.

Q: find the derivative of y with respect to x, t, or u,as appropriate.17. y = ln (u + 1) - eu…

A: Given, y=ln(u+1)-euDifferentiating both sides w.r.t u we…

Q: Q1J Use the Chain rule to find the derivative of w=xy + In z with re spect to v if x v/u, y u+v, z…

A: The chain rule is used to calculate the derivatives of the function. The chain rule for a function…

Q: find the derivative of y with respect to x, t, or u,as appropriate.13. y = ln (t/2) 14. y = ln…

A: Given question is to find the derivative of the function , which can be solved by using the chain…

Q: 2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the…

A:

Q: Find the directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: Given- f(x,y)=20xx+y To find the directional vector of f(x, y) at P(5,0) in the direction of…

Q: 8. The second directional derivative of a function f(r, y) is Df(x, y) = D« [Duf(x,y)]. If f(r, y) =…

A: NOTE- as we are allowed to answer 1 question in one session so i have answered question 8 for you.…

Q: The directional derivative of the function f (x, y, z) = x²z + xyz + y? in the direction of u =…

A:

Q: Both x and y denote functions of t that are related by the equation x² + y² = 6x + 10y. Use this…

A: a) We differentiate both sides with respect to t. x2+y2=6x+10y2xdxdt+2ydydt=6dxdt+10dydtGiven…

Q: Q4/ Find the value of the following partial derivative (choose O 1- If w(x, y) = Ln(ey+/5xy)),find…

A:

Q: Find the derivative of the given functions. 1. D;(x²cos 2x) 1 1 2. y =x + 7sin 2x 3. f(x) = sin?(5x…

A: We have to find

Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz (B)If Z =…

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: dRdt=96t4 , R2=76 Find antiderivative R(t) =∫96t4 dt=96 ∫1t4 dt=96∫t-4 dt=96 ·t-3-3 +CR(t)=-32t3 +C

Q: Can you help me step by step?

A: To determine the value of first and second derivative of the function

Q: Q2: Find the derivative of f(z,x) = xe* + cos(2zx?) at a point (0,2,1)in the direction of V = i - 3j…

A:

Q: what is of point Fyl-2,0) fexsy)=(x3ーy+g)s

A:

Q: Q4: Find the derivative of the function at P。 in the direction of A 2 1) f(x, y) = 2xy-3y², P (5,5),…

A:

Q: 7. Given (x, y)= x' + y² a) Find the derivative at P(1,1) in the direction of " = u,i +u ;j b) In…

A:

Q: 10x Find the directional derivative of f(x,y) = at P(5,0) in the x + y direction of Q(4, –3). NOTE:…

A: Here is the solution:

Q: 2(z–1) sinh z cosh I + 3(x – 1)'sech? (z)? Which among the choices will result to a derivative of O…

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given  C'x=2x2-3x   ...1C0=4000   ......2

Q: Birinci mertebeden geri yön sayısai Ay O a) y': h Vy O B) y'= O NS) Vy y'= h

A:

Q: y = cos(r) fonksiyonunun birinci mertebeden türevini z = noktasında h = olmakla 3-nokta aranokta…

A: Given function is fx=cosx. We have to evaluate the first derivative of fx=cosx at x=π2 and h=π4. The…

Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

Q: Q4/(A) Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the direction. дz дz (B)If…

A: In question (A) no direction is given so I am only finding the partial derivatives.

Q: Consider a function of 3 variables h (x, y, z2) = -3 (2+ Calculate the value of its third order…

A:

Q: 5. For ø = z sech¯³[y tan¬²(In x)], find the directional derivative when dx = 2dy = –3dz at a point…

A: Given function is ϕ=zsech-1ytan-1lnx we have to find the direction derivative of given function when…

Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: 3x The directional derivative of f(x,y,z)=ln at the point P (2,0,-1) in the direction 1+yz z² from P…

A:

Q: 8. The second directional derivative of a function f(r, y) is D²f(x, y) = D„[D„f(x,y)]. If f(r, y) =…

A: Consider the given function, fx=x3+5x2y+y3 the formula for the second directional derivative of a…

Q: Q4/(A)Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the direction. дz дz (B)If…

A: Please see the attachment According to the guidelines we are supposed to do one problem...

Q: Find the derivative of y: 1- y = (cos 0)▼2

A: See the details solution in below

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x' – 2)' u? a) y=…

A:

Q: Q1: a) Find the directional derivative of S = In(2r +3y) at point (-1,1) in the direction of 4i -3i…

A:

Q: 12 Use the gradient to find the directional derivative of the function at Pin the direction of Q.…

A:

Q: (c) Use the chain rule to find the derivative of the function z = 2r*y³ – ry² along the curve given…

A:

Q: The derivative of y with respect to given a = 1 is Onone of the choices O y = yx³-1 O V = 0 = = 9 *…

A: I have stated the used formula in the solution

Q: Q:4) Find the directional derivative of the function f(x.y,z)-x²+y*+z°-2 at the point po(1,1,1).

A: here we are not given the vector in whose direction we need to find the directional derivative so…

Q: Let f(x, y) = -4x + 3y. Find the directional derivative in the direction of v = from the point P =…

A: