Evaluate the first derivative of the implicit function: 4x + 2xy+y D0 4x +y x+y 4x+y B x+y 4х-у x+y 4x +y X-y

Q: obtain the second derivative of the function: y=2-5x^4+3/2x^2

A: Please refer the attached image for complete solution.

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

A:

Q: Find the derivative of the function. 7x y = Va2 + 5 y'(x) =

A:

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Determine the derivative of y (x) = ( 3 x² + 11 x + 4 )³ e-6 x with respect to x. y '(x) =

A: topic - derivative of a function

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

A: The given function is f(x)=9-3x2

Q: Find the second derivative of the function x2y – 2 = 5x + y

A:

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 derivative of the function. x² F(x) e dt %3D F'(x) =

A: The fundamental theorem of Calculus says: If F(x)=∫h(x)g(x)f(t)dt⇒F'(x)=f(g)g'-f(h)h' Here,…

Q: Find the derivative of the given function. y = (4x2 + 4x)2 %3D O 32x° + 48x2+ 16x 64x + 96x2 + 32x O…

A: That's easy. Have a great day!!!

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

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

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 derivative of the function. (y – 1)5 (y2 + 2y)9 G(y) =

A:

Q: Find the second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

A:

Q: Find the derivative of f (x) = (x + 4)5 A) f'(x) = 5x (x* +4)* B) f'(x) = 6x (x+ 4)* C) f'(x) = 30x…

A:

Q: Find the derivative. 1. y = + VI- 2. y = r (x2 + 1)/3 3. y = In v5x² - 4 V

A: 1. y=1x+x-1x2. y=x3x2+1133. y=ln5x2-4

Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: Product rule of differentiation: ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x) Power rule of differentiation:…

Q: V3x – y + 6x*y? = 9y - 4.

A:

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: Evaluate the derivative of y = (x 2+ 2x + 1)2usingd/dx (ƒ(g(x)) = ƒ′(g(x)) # g′(x)

A: We have to evaluate the derivative ofy = (x2+ 2x + 1)2usingddx(f(g(x))=f'(g(x))*g'(x)

Q: The derivative of f(x,y)=x^3+y^2 is 3x^2+3y^2. True or False?

A: The given function f(x, y) = x3+y2 Differentiate with respect to x ∂f∂x=3x2 Differentiate with…

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

A:

Q: A) Find the domain and range (for TWO only) 1) y = V9 - V9x 2) y = V4 – x² 3) y= у 3 B/ Draw the…

A: given is 1) y=9-9x    y=9-3xdomain =x∈R : 0≤x≤9range ={y∈R : 0≤y≤3}

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

A: Given:Assuming the given function is:

Q: Find the derivative of the function. G(y) =  (y − 2)4 (y2 + 4y)5 G'(y) =

A: G(y)=(y-2)4(y2+4y)5 G'(y)=4(y-2)3(y2+4y)5+(y-2)4 5(y2+4y)4(2y+4)        =(y-2)3…

Q: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

A:

Q: Calculate the derivative of the function. r(x) = (0.1x2 – 4.2x + 2.5)1.5 r(x) = %3D

A: Here we have to calculate the derivative of a fxn r(x),where r(x) is given by r(x) =…

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: V3x – y+ 6a*y? = 9y

A: Given: 3x-y3+6x4y2=9y

Q: Determine the second derivative of the implicit function Vx - Vỹ =1 1 + y' y" (a) 1 – y' y" (b) 2x…

A: x-y=1 Differentiating with respect to x, we get ⇒12x-12y·y'=0⇒12y·y'=12x⇒y'=yx

Q: Find the derivative of the function. (y – 1)5 (y² + 2y)8 G(y) :

A:

Q: Find the second derivative of the function (r² + 1)(x² _ z +1) U =

A:

Q: *show work*

A: Given:

Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

A:

Q: Ax) = Vã Vx = /x хх e

A:

Q: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: Find the derivative using the definition fex)- = C fcx) fCx) = そり f ex) = KX" f cx) fx) = gx).hcx) 9…

A:

Q: Find the second derivative of the function. y = (2x + 4)3 %3D y" %3D

A: y=2x+43

Q: 3. у %3D 8 5. y = x6 1 7. у %3 x'

A:

Q: Find the function whose derivative is Inx+1. A) xlnx B) x+xlnx x+1/x D) x+Inx

A:

Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

A:

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 second derivative of the function. 2- 2x2 + x6 y = x9 elect one: A. d2y 180 12 dx2 x11 B.…

A: Derivative of function

Q: Find the derivatives of the functions . 1. y = x5 - 0.125x2 + 0.25x 3. y = x3 - 3(x2 + p2) 5. y = (x…

A: Given,