For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

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Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: If f(x.y)= x?+2xy+5y² then дудх

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: for z = In(2® + y*). Find

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Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: nd frr for the function z = x ° - 6xy+ 4y .2 30x 2- 42x 6x- 6y

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Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: Find the value of x x - 2 x - 1

A: claim- find the value of x

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 => fx(3,2) = 66

Q: f(x)=Vx+10 X-4 Damain af flxt Donain of fle(x)) =

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Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4)

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: Find fxxx for f(x,y)=x2y2

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Q: If f(x.v) = In) find 2y. дхду O a. 0 O b. 2x y Oc -1 Od. d. -2x

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