The total differential of the function: z=x*e3y . .A dz = 3x "e3Y dx +4x³e3Ydy. .B dz= 3x"dx +e3ydy. Зу .C dz = 4x°e3Y dx +3x "e3Y dy. .D dz =e3Y dx +3x “dy.

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

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Q: Given f"(x) = 6x - 5 and f'(-3) = -1 and f(-3) = -2. Find f'(x) = and find f(4) = %3D

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Q: 2) (2xy = y² + y) dx x) + (3x² - 4x4 :) dy = +3×

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Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: Eliminate the arbitrary constants: y=c_1 e^x+c_2 e^2x+c_3 e^3x O A. yA"+3y^"-9y+3y=0 O B.…

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Q: Differentiate the function. y = ex +4+3 y' = et+4+3 X

A: The Sum/Difference Rule:The Power Rule:The Chain Rule:And use the common deriavtive:

Q: Find y' y = 5x² + a4

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Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: y = () Зx2-2 х+3

A: I am using the chain rule to find the first order derivative of the given equation

Q: y²-6x²y=-9x ; y' at (1,3)

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Q: y' = x2y2/x2+y2 ; is this function seperable or non-seperable

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Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: Differentiate. y' = y = t² + 3 t4 - 2t² + 5 X

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Q: Differentiate. et y = 8x2 y' =

A: Given:- y =ex /(8x2)  To find:- y'

Q: Find y'. O A. 2x+ O B. 2x- ОС. 2х+ -| -| |

A: we have y=x+1xx-1x

Q: 8. (x² + 2xy − 4y²) dx — (x² − 8xy — 4y²) dy = 0. - -

A: #8

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: Determine y' if y =  x9 − 5x4 + 15x x4 .

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Q: Find y' for y = 2x - 8x - 6 - 1 y' = %3D

A: As we have to find y', that is derivative of function y with respect to 'x' , just I have used the…

Q: y"=? (d2y/dx2) y=2x2+1/x3+2x

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