e2x 2. Find the derivative of y = - (x² + 1)°(1 (1+ sin x)5

Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

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Q: 2 (y – k) y' = 4a Find the Derivative - d/dy Since 4a is constant with respect to y, the derivative…

A: (1). The given expression is:2y-ky'=4a

Q: Q3) find the derivative of each function: 1) y=x?sin*2x + x cos-3x 2) y? = (sin2x)* + (cos2x)* + 2xy…

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Q: - 9x Find the derivative of y with respect to x if y = e dy %3D dx

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Q: 2 for the function y = x sec 3x x2 dy Find the derivative dx

A: Given:

Q: . The derivative of y = xe + e" is D. ex А. хе В. хе + е^ С. exе-1 + е‑

A: Given: y=xe+eπ

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: find the derivative of the function y=-5(8x^2+7)^-6 dy/dx=___?

A: Given function is :  y = -5(8x2 + 7)-6

Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: Can i get help step by step please?

A: Consider the first function.

Q: Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

A: to find the slope differentiate  the equation with respect to x .

Q: what is the second derivative of y(t)=e^-2t and y(t)=e^-3t

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Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: xy+3x^(3/2)y^(-1/2)=4; (1,1) a. use implicit differentiation to find the derivative dy/dx b. find…

A: a. Compute the derivative using implicit conversion

Q: 2. If y = x +3x-2x+1, find the values of the following e. derivative, i. У"(2) d'y ii. dx ii. y" (2)

A: Please refer to the image below

Q: X 3.9.29 Find the derivative of y with respect to t. y= sec

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Q: 3(34 to Y= ! 2% e dy

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Q: -1 The derivative of the function y = sin Va at 1 is equal to 4

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Q: Find the indicated derivative. dy for y = dx 1 – 2x2 x4 – 2x² + 4 %3D

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Q: Given the function f(x) = e-3x cos 3x, x = [0, 2π]. When is the rate of change of f(x) a maximum?

A: Here, the given function is: f(x)=e-3xcos(3x) Now, the rate of change is given by: f'(x)=e-3xddx(cos…

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: 3.3 Find the derivative. y = 3x°e* %3D y' = II

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Consider the equation x² + y² + 4xy – 2y = 1. Then y can be viewed as an implicitly defined function…

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Q: the chain rule - find dy/dx (derivative) of y= (4x11 + sin(5x))1/8

A: We have been given a composite and complex function, and we are required to find its derivative. In…

Q: Can you please help me step by step with this problem?

A: From the given function:

Q: dy of the function dx Find the derivative x² In 3y = y sin 3x + e2a.

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Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

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Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

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Q: Can you help me step by step with this problem?

A: To compute the derivative of the function.

Q: 3. Find the derivative y'(x) implicitly. cos?x + cos²y = cos (2x + 2y)

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: Find the derivative of the function. - c() (수 1 - e9x 1 + e9x y = cos y' = 18e9z sin + e&= )…

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Q: Find the indicated derivative dy/dx x2 + 2xy + y2 = 1

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Q: 1 y 4 18) Find the first derivative of y = -sin? x

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Q: Q2) Find the derivative of the function at Po in the directi g(x, y) = x – (y²/x) + V3 sec-' (2xy),…

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Q: Find the value of the derivative. dy if y = 3 - 7x2 dx |x = - 3 dy (Simplify your answer.) %3D dx |x…

A: y=3-7x2dydx=0-14x       =-14x

Q: Q2: Consider the implicit equation: y² – y – x² = 0 Find the implicit derivative dy/dx, and…

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Q: Find the first derivative in the form of dy/dx  y= 2e^-2x + 2x^e^2

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Q: 2. In each case, find the derivative d. (a) z = x³ – y² and x(t) = cos 2t and y(t) = e-3t, (b) z =…

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Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

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Q: dy Find the function y whose derivative - is 8.x+ 10 and y has a value of -2 when x is 1 dx y =

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Q: Find the derivative of the function. y = 4x e –6x – 3 ex - 3e dy dx

A: We have to solve the problem

Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.

Q: Find the derivative of y with respect to x. y = sin -1(et) OA. 5e 5t /1- e 10t O B. - 5 e 5t /1- e…

A: We have to find