ind the derivative of the function f(x, y, z) = i +j - k.

Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y, z) = x2 + 2y2 - 3z2, P0(1,…

A: f(x,y,z) = x2 + 2y2 -3z2  v = i + j + k  P0(1, 1, 1)

Q: Find the derivative of the function f(x,y,z) = x² + 2y² – 3z² Po = (1,1,1) in the direction of at…

A:

Q: find the directional derivative of the function at P in the direction of PQ.

A:

Q: consider the function f(x, y) = esin(x), Find the maximum rate of change of f at the point (, 1).

A: The direction of maximum increase of f is given by ∇fx,y.Maximum value of Du→fx,y or rate of…

Q: ind the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Find the derivative of the function at P, in the direction of g(x,y) = x - (v² /x)+ /3 sec*(2xy),…

A: Given that  g(x,y)=x-y^2/x+√3arcsecx(2xy) P(1,1) A=12i+5j To find the directional derivative of g at…

Q: Find the directional derivative of f(x, y) = cos(x) + y² at (T,2) in the direction of (3, –4).

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Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student  Here is the solution of your query

Q: Compute the derivative of f(x) = (sin x)v , 0 < x < T.

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Q: Find the derivative of the function f(z, u) = =*y – 4y° at the point Po(2, 1) in the direction of =…

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Q: The directional derivative of f(x, y) = 2e* cos y at (0, ) in the direction of v = (-6, 8) is

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Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

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Q: Find the derivative of the function f(x,y,z) = x² + 2y? – 3z2 at the point v =. Po = (1,1,1) in the…

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Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4…

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Q: Find the directional derivative of f at the point p in the direction of a. F(x,y)=y² ln x; p=(1,4)…

A: The given function is Fx,y=y2 lnx with p=1,4  and  a=i-j. Computation 1: Obtain gradient of f  as…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: d (cos x) = - sin r. dx %3D Prove, using the definition of the derivative, that

A: y=cosxsinx+1

Q: Find the derivative of the function at Po in the direction of u. 3x f(x, y) = tan -1 , P0(-2, 3), u…

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Q: The directional derivative of f(x, y) = -e" cos y at (0, ) in the direction of v = (-6, 8) is 14 O…

A: Here,

Q: Find the derivative of the function f(z,k) = z^4— 16k^3+ tanh(z) — 4 csc(k) in terms of z and k ?

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Q: Find the derivative of the function at Po in the direction of A f(x,y,z) = 3 e* cos (yz), Po(0,0,0),…

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Q: nd the derivative of (z.x)= X+c Cos (27 X) Point (0,2,1) in the direction at of V=i-sj+k

A: Directional derivative is dot product of gradient and normalised vector.

Q: Find the directional derivative of the function f(x, y) = x² + y³ at the point (2, 1) in the…

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Q: Find the derivative of f(y) = ee") eelos f'(y) =

A:

Q: Find the derivative of the function at Po in the direction of A. f(x, y, z) = x2 + 2y2 – 3z?, Po(1,…

A: We can solve this as follows:

Q: Find the derivative of the function at Po in the direction of A. f(x, y, z) = xy + yz + zx, Po(1,…

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Q: Find the directional derivative of the function in the direction of u = cos(e)i + sin(@)j. F(x, y)…

A: Explained below

Q: S:R R, f(x) =a", (a > 0, + 1)

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Q: Find the derivative of the function. y = a° + cos° z y'(x) =

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Q: Find the derivative of the function. a. y = In(x + Vr² – 1) b. f(x) = log2 (e "cos Tr) COS

A: According to our policy, when multiple questions are posted we solve only the first question. sorry…

Q: The directional derivative of f(x, y) = e" cos Y at (0, ) in the direction of v = (-6, 8) is

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y) - - 3ху + 5y, Po(1, - 5), А-…

A: We have to find the directional derivative of the function P at (1,-5).

Q: Find the derivative of the function f(x,y) = tan at the point (3, - 3) in the direction in which the…

A:

Q: Find the derivative of y(x): :/ sec(re')dt . Evaluate both y and at x = 0. dr

A: Explanation of the solution is given below...

Q: (c) Let f(x.y) = (x²+G))), Determine the directional derivative of f at the point (1,0) in the…

A: f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in…

Q: The directional derivative of f(x, y) at the point (a, b) in the positive y- direction is f (a, b).…

A: Solution: We know that if f(x,y) is a function of two variables x and y, then fx at a point (a,b)…

Q: Find the derivative of the function. F(x) = et dt F'(x) = %3D

A: We know that by Leibniz rule of differentiation under integral sign, we have

Q: Find the derivative of the function at Po airection oT u. f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i -…

A: 1. Given f(x, y) = 3x2 + 4y and u = 3i - 4j u^ = 1|u|u = 15(3i - 4j) ∇f·u^ = (i^ddx(3x2+4y) +…

Q: Find the derivative of f(x, y) = (2x – y°, sin(ry), r²y*)

A: Given f(x,y)=2x-y3,sin(xy),x2y3 differentiate f(x , y) with respect to x we get…

Q: Find the second of the finchion, ç x) = cos e derivative f (x) (x %3D %3D

A: Consider the given function: f(x)=xcosx The first derivative is calculated using the product rule.…

Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

A:

Q: What is the derivative of y = x + Vx + 1 ? y' = 2(x + 1) + 1 O y' = (x + 1) + 1 %3D O y' = (x +1)+ 1…

A: Let's Solve, Answer: Option C

Q: Find the derivative of A(x,y, z) = (X³y +y²z+e* )(sin(x)+ cos(y) – z + 10) %3D

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: The directional derivative of f(x, y) = e" cos y at (0, ) in the direction of v = (-6,8) is

A:

Q: Find the derivative of f(x,y) = xe² +cos(xy) at the point (2,0) in the direction of V = 3i – 4 j .

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

Q: Find the directional derivative of the function at P in the direction of v. f (x, y) = 3x – 4cy+ 9y,…

A:

Q: Find the third derivative of f (z) = T2x +I. fll! (z) =

A: Explanation of the answer is as follows