Problems 1& 2 involve three functions z(y), y(u), and u(x). Find dz/dx from (dz/dy)(dy/du)(du/dx). 1. 1= /sin(x -+ 1} 2. z= (sin x')?

Q: 1. Find y'. y = x² In(tan-1(2x))

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Q: (5) If y = sin(3x) the find y"

A: We have given trigonometric equation  y=sin3x y'=dydx y'=ddxsin3x y'=cos3x·ddx3x y'=3cos3x…

Q: 3. Let x² + 4xy + y² = 13. dy • Find dx by using implicit differentiation.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find dy/dx for x*+siny = x'y

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Q: Find dy/dx if 3 (cos y) (sin x) = y

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Q: #41

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Q: 8. Find y'if y = x³ +sin (x)

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Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: 2- Find dy/dx for y = In(tan(2x²))

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Q: Find y' if y = sin² (5+7)

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Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

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Q: 6. x cos x, find the second derivative. 7. y = sin? x, find y dx2 d²y 8. y = tan(3x²), find · dx2"

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Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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Q: 1. Use implicit differentiation to find dy/dx when x 1 and y=1. у? + ху 3D 2.

A: Given y2+xy=2 when x = 1 and y =1

Q: 37 Y= Sin (t?)dt o dy=?

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Q: 2. y = tan-1(sin 3x) + cos-(cos x)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…