2. Find the first 3 derivatives of y=x* – 5x3 + 7x – 10 a. First Derivative b. Second Derivatives c. Third Derivatives d. Fourth Derivatives

Q: Q-1- Find the derivatives of the functionS 1- Y+In (xy) = |

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Q: * Find the fourth derivative 1 y=x²- HJXJ

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Q: Find the derivative of y = 6x°e* + 3x° y' =

A: Given data is : y=6x3ex+3x5 To find the value of derivative y' Formula of differentiation…

Q: Find the derivatives of the function x²(xy² y)² = x² - y² )

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Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: Find the first and second derivatives :- y  = 1x + 1

A: The equation is  y=x+1

Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x)…

A: Solve differentiate

Q: find the first and second derivatives y = x3/3 + x2/2 + e-x

A: Given

Q: Find the derivative of y with respect to x. + 1 5) y = sec-16x + -54 A) – 1 + (6x + 1)2 54 C) (6x +…

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: 4- Calculate the second derivative of the function y = f (x) defined by the equation x3 + y3 +3xy +…

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

Q: Calculate the second and third derivatives. 2 y = x* – 4x? + 6æ 3y" = y/" = %3D

A: This question is based on application of Derivative.

Q: Find the second derivatives:y^n for y=1/8x^4-1/3x^3+3/4x^2-3x+5 And f(x)=2x/5x-2

A: (i): Given : y=18x4-13x3+34x2-3x+5 f(x)=2x5x-2…

Q: Find the derivatives of the functions y = (x + 2)x+2

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Q: Find all derivatives of the function y=1/2x−3.

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Q: find the first and second derivatives

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Q: 8. Compute the derivative of the following equation. (1) y = (x +1)3(2x – 2)2 (ii) y2-4x² y+x=16

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Q: B. Find the indicated derivative. (15 pts) -4 y =;y(3) 2. x2 – 4y2 = 5; y" x2 -

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Q: Find the derivatives of the functions y = 2√x - 1 sec-1 √x

A: Given: y=2x-sec-1x we differentiating given function and then simplify it

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

Q: Find the derivatives for each function. 1) y=e^(2x+x^(2))  2) y=2xe^(x^(2)) 3) y=ln((x+1)(2x+1))…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: Find the derivatives of the functions y = (x + 1)2(x2 + 2x)

A: Given function is y=x+12x2+2x We have to find derivative of given function. To differentiate the…

Q: Calculate the second and third derivatives. y= 2x^4 −4x^2 +2x

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Q: find the first and second derivatives y = x2 + x + 8

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Q: 4- Calculate the second derivative of the function y = f(x) defined by the equation x³ + y3 +3xy +…

A: The given function is: x3+y3+3xy+3y2+6x+6y=0

Q: Find the derivatives of the functions y =(x + 1)(x + 2)/(x - 1)(x - 2)

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Q: 27. The first derivative of y = is (4x+1) -24 b. 24 C. -6 6. (4x + 1)+ (4x + 1)+ (4x + 1)4 (4x + 1)*…

A: y=-2(4x+1)3

Q: Find the first and second derivatives of the functions w = 3z2e2z

A: Given:Assuming the given function is:

Q: Find the derivatives of the functions y = √x csc(x + 1)3

A: The given equation is y = xcscx+13.

Q: Find the derivatives of the functions y = (x2 - 2x + 2)e5x/2

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Q: find the first and second derivatives

A: The given functions are a) y=1xx2+ex b) y=e2x To find : The first and the second derivative

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: Find the derivatives of the functions y = 2e-x + e3x

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Q: Find the derivatives of the functions y = (1 + x2) etan-1 x

A: Product rule (uv)'=u'v+uv' ddxxn=n xn-1ddxex=exddxtan-1x=11+x2

Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: y +2xy =x+y

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Q: y = 5v 3vã х

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Q: Find the derivatives of the functions y = x3 - 3(x2 + π2)

A: the given function is: y=x3-3x2+π2 we have to find the derivative of the given function.

Q: Find the first and second derivatives of the function.

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Q: Q3. Find the derivatives of the functions 2x + 5 a) y b) w = (2x – 7)(x + 5) Зх — 2 5x + 1 с) и 2 Vx

A: We have to find the derivative of the following functions a)  y=2x+53x-2 b) w=(2x-7)-1(x+5) c)…

Q: B. Find the indicated higher order derivatives *** (1+x)² 2. y"'if y = x2

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Q: find the first and second derivatives w = 3z-2 - 1/z

A: Consider the following equation: w=3z-2-1z Differentiate w with respect to z:…

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Q: Find the derivatives of the functions y = x2e-2/x

A: Given: y=x2e-2/x Formula Used: f.g'=f'.g+f.g'

Q: Find the derivatives of the functions y = 1/(x2 - 1) (x2 + x + 1)

A: