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: 7. y - y = 16

A: The objective is to find the general solution .

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

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 7.- Find the directional derivative of = x²-y-z + 4x.z² at the…

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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: 1. Find the first differentiation of this equation: a. y = (Sx2-3)a b. y = (4x2 – 7)3 c. y Sx+6…

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Q: Find if x'y+y' = x dy dx A) 2x+2y 1-2xy-2y B) x2 1-2ху C) x2+2y D) O A O B O c O D

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Q: 6 Y = x6 + Vx5 ++5 x3 y' = 6x5 +x² – 18x* y' = 6x5 +x1.5 – 18x-2 O Option 2 Option 1 y' = 6x5 +x15 –…

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Q: Eliminate the arbitrary constants of the equation y = Cje 2x + A y" - 2y' - 3y = 0 B y" - 4y' - 2y =…

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Q: Determine y' of y = V4x+3

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Q: NUMBER 2 AND 11 IN LETTER E & NUMB

A: here we have to find the second derivative.  2) y=a-x211) y=x2x+1

Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: Differentiate the function. 8x-7 y = 4x° +9 Which of the following shows how to find the derivative…

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Q: 4. y = In(8x – 3) (2x + 1)

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Q: X.

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Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: Find d²y[dx². 1. y = x* - 7 2. y = x + 9 3. y = 2x4 – 5x 4. y = 5x3 + 4x 5. y = 4x2 – 5x + 7 6. y =…

A: The expression d2ydx2 denotes the second derivative of y with respect to x. A polynomial function is…

Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

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

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Q: 24. Find the x- and y-intercepts of the line that is tangent to the curve y = =√/² at the point (1,…

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

A: we have y=x+1xx-1x

Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

A: Given query is to find the second derivative of the expression

Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B)…

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5       =15x7+7x-45ddxx7+7x…

Q: V24x'y³ • J50x² y° V40m²n • V50m n V28.x*y" 7xy 4 V42 75.xy* V3x 5. 3. 4.

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Q: 4 Determine the derivative of y = 3x

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: 3x e The y, of y"-6y'+9y = x2 by using variation of parameters is: .A Y,(x) =0 .B 3X Y,(x)= -In(x).…

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