Given z = 3x'y + V5 cos 2y-2x, detemine the total differential o

Q: Find y' for y = vTy at the point (9,1).

A: Given: y=xy ⇒y=x12y12 ⇒y12=x12

Q: Use differential to approximate the change in y=x3+x2 as x changes from 1 to 0,95.

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Q: Find the solution of the following differential equation. x²+1 1. xe"dy + dx : 0

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Q: z = f( a, b, d, c), write the exact differential of the dependent variable

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Q: Find the value of dy/dx at the point (-2, 1) for the function which is defined implicitly by x²y – -…

A: Differentiate wrt x

Q: Find the differential of y = = sec 4x + csc24r %3D O dz (8sec 4xtan4x- 8csc 4xcot4r)dy %3D O dy =…

A: Explanation of the answer is as follows

Q: Find y": Vy - Vx = Va

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Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

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Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find.

Q: Find by implicit differentiation: dx a. cos y =x+ y

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

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Q: The total differential of the function: z=x*e3y . .A dz = 3x "e3Y dx +4x³e3Ydy. .B dz= 3x"dx +e3ydy.…

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Q: Find y' for (xy) ³/2 = 27 at the point (3, 3). At (3, 3), y =

A: at the point where need to find the value given the question

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation