Q: rapidly at Po, Then find the derivatives of the functions in these directions f(x, y) = x²y + e" sin…
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Q: (a) Find the derivative of f(x, y, z) =x²- xy²- z at Po(5, 1, 0) in the direction of v=2i-3j+ 24k.…
A: Given: f(x, y, z) = x2 - xy2 - z, P0(5, 1, 0) and v=2i - 3j + 24k.
Q: find the derivative of the function at P in the direction of u. f(x, y) = 2xy – 3y². Po(5, 5). u =…
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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y/x) + V3 sec…
A: Let us consider the function z=f(x,y) The derivative of the function at point P in the direction of…
Q: 18. Find the directional derivative of * f(x, y) = -2e* cos y at (0, 7) in the direction of v = (-6,…
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Q: Find the derivatives of y with respect to x: a) y = xe* – ex b)' y = e(+x+) c) y = e*(sin x + cos x)…
A: Differentiate the function with respect to x.
Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…
A: Use directional derivative formula
Q: Show that the function f(z) = e* – y?(cos(2xy) + isin(2xy)) is entire and find its derivative
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Q: 11. Find the directional derivative of f at the given point in the direction indicated by the angle…
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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…
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Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…
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Q: Find the derivative of the function at Po in the direction of A. 1(x.y.z) = - 2 e* cos (yz),…
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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…
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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: Find the derivative of the function at P, in the direction of A. f(x.y) = - 2xy + 5y, Po(-1,4), A= -…
A: Solve the following
Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y) = Зху +2. Po(- 1,1), u=…
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Q: Q2/ find the derivative of the function at P, in the direction of u. 1. f(x, y) = 2xy – 3y², Po(5,…
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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3x-2 1. Z=. ;d'z/dx? (x-1)2 2. Y= (2 – x³ )5…
A: Given: 1. z=3x-2x-122. y=2-x353. y=2x+125
Q: Find the derivative of the function at Po in the direction of u. x-y g(x.y)= Зху +2" Po(-1,1), u=…
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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),…
A: Given function is f(x,y,z) = 3e^x cos(yz)
Q: Find the derivative of f(x, y) = xe + cos(xy) at the point (2,0) in the direction of v=3i-4j. B) 5 O…
A: Please find the answer in next step
Q: Q. No. 5. Find the Derivative of the Given fur a) y= ev1n x( Inx) +2x b) f(x) = %3D a+x
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Q: Find the derivative of the function at Po in the direction of u. X-y g(x,y) = Po(- 1,1), u= 12i + 5j…
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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…
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Q: Find the derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1),…
A: We need to find derivative of the function.
Q: a) Find the derivative of f(x,y) = xe* +cos(xy) at the point (2,0) in the direction of V = 3i – 4 j.
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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: H.W: 1. find the derivative of the function f(x, y, z)= xy + yz + zx ,at the point P(1,-1,2) in the…
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Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…
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Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = 5 ex cos (yz),…
A: To find the derivative of the function at P0 in the direction of A.fx, y, z=5ex cosyz, P00, 0, 0,…
Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x - (y²/x) + V3 sec…
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Q: Find the derivative of the function at Po in the direction of A. 0. f(x.y) = -5xy-3y, Po(6,- 1), A=…
A: Given function and vector is fx, y=-5xy-3y2A=-5i-5j unit vector along A is…
Q: Find the derivative of the function at P.(0,0,0) in the direction of B. f(x, y, z) = 3e* cos yz,…
A: Directional derivative of the function.
Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 5xy + 2y. Po(-7,1), A=…
A: Given query is to find indicated derivative.
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 at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +…
A: To find the derivative of the function g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of…
Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…
A: Given data: The given function is f(x,y,z)=2ln(xy)+2ln(yz)+2ln(xz). The given point is P0(1,1,1).…
Q: Find the derivative of y with respect to x in the f a) y = u u +1 and u= 3x - 2 b) y=Vu + 2u and u=…
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Q: Find the derivative of the function at P, in the direction of A. f(X.y.z) = - 2 e cos (yz),…
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Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…
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Q: (c) Use the chain rule to find the derivative of the function z = 2r*y³ – ry² along the curve given…
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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 3xy - 3y, Po(2,4), A= -…
A: We have to find out derivative
Q: Find the derivative of the function at Poin the direction of A g(x, y) = x – (y²/x) + V3 sec (2ry),…
A: The solution is given as
Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 4xy + 2y², + 2y-, Po(2, -…
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Q: Find the derivative of the function at Po in the direction of A. f(x,y)=-3xy + 5y², P₁(-10,2),…
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Q: A. Find the derivative of the function at o P in the direction of A f(x, y) = x – E) V3sec-1(2xy)at…
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Q: find the directions in which the functions increase and decrease most rapidly at P0 . Then find the…
A: Consider ƒ(x, y) = x2y + e^xy sin y, P0(1, 0)
Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…
A: Consider the equation
Q: Find the derivatives of y with respect to x: a) y = xe* - e* b) y = e(1x+) %D c) y = e*(sin x + cos…
A: (a) The product rule of differentiation is as follows: uv'=u'v+v'u The required differentiation…
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- Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po(3,-3,-2), A=6i+3j-2k (DA) (3.-3.-2)=(Simplify your answer.)find the derivative of (2,x)= Xé+ cos (2Z X) a Point (0,2,1) in the direction at f V= i-3j+kFind the derivative of the function at P, in the direction of A. f(x,y.z) = xy + yz + zx, Po(1, - 1,3), A= 3i + 2j – 6k (DA) (1. - 1.)' (Simplify your answer.)
- Find the derivative of the function at Po in the direction of A. f(x.y,z) = xy + yz + zx, (1,- 1, - 2). A = 2i + 3j - 6k (DAf) (1. - 1. - 2) = (Simplify your answer.)Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-' (2xy), Po(1, 1), A 12i + 5jThe directional derivative of o = 5x2y – 5y2z + 2.5z2x at the point P(1, 1, 1) in the direction of the line * X-1 2 y-3 = Z -2
- The directional derivative of a function in the direction of ⟨3,4⟩ at the point (1,2) is 1df/dx at the point (1,2) is equal to 5/2.Find the directional derivative in the direction of ⟨3, −4⟩ at the point (1,2)Q3) find the derivative of each function: 1) y=x*sin 2x +x cosx 2) y? = (sin2x)* + (cos2x)* + 2xy 3) find dx' y = secu, u (2x+5) Q4) find at t= - from the following functions, x= sec't-l. y= tantFind the directional derivative of w=2x²yz in the direction of v=3i-4j at the point (-1, 1.13)
- Find the derivative of the function at P, in the direction of A 1) f(x, y) = 2xy- 3y', P.(5,5), A = 4i + 3j g(x, y) = x-(y/x)+ 3 sec (2xy), P(1,1), A = 12i+5j Ans. 31/13 Ans. -4 3) f(x, y, z) = xy+ yz + xz, P,(1,-1,2), A= 3i+ 6j- 2k Ans. 3 4) g(x, y, z) = 3e" cos(yz), P(0,0,0), A= 2i +j-2k Ans. 2Find the derivative of the function at P, in the direction of A g(x,y) =x - (y² /x)+ /3 sec*(2xy), P,(1,1), A = 12i + 5j