y varies directly as x and inversely as z can be modeled by the equation

Q: find the first and second derivatives y = 4 - 2x - x-3

A: Given: Using:

Q: please solve it and show yor work

A: As given y varies inversely as x this implies

Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x +…

A: To eliminate the arbitrary constants.

Q: Find the derivative of the function y = 10x + 9x 8

A: Here we need to find the derivative of the given function y=10x+9x58 Now, we use the formula if y=xn…

Q: 9x3 + 7x + 1 y = 2х — 1

A:

Q: Find the derivative of the function y=2x1−x2.

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Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

A:

Q: Find the derivative of the function.

A: We have a nested form of function . We have to use the chain rule of differentiation . According to…

Q: Find the derivatives of the functions

A: Here given

Q: 5 X y = (2x² – 3)

A: given y=x5(2x2-3)we need to find the derivative of the given equation

Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

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

Q: Find the indicated derivative and simplify. 9x - 7 y' for y = x+6x y' =

A:

Q: If y varies inversely as x, and if y = 1/2 when x = -8, find the constant of variation.

A: y varies inversely as x. y ∝ 1x y = k.1x y = kx where, k is a variation constant.

Q: y= c¡x+c2x²

A:

Q: Suppose that y varies directly with x, and y=3 when x= 15. (a) Write a direct variation equation…

A:

Q: Find the derivative of the function. y = 5x² + 2* + 3

A: The sum rule of differentiation states that ddx(f(x)+g(x))=f'(x)+g'(x). The differentiation of the…

Q: Assume that y varies directly with x. If y = -4.8 when x= -1.6, what is the constant of variation?

A: Given, y=-4.8 and x=-1.6 Suppose that constant of variation is k. We know that y varies directly…

Q: Select the equations that show a proportional relationship between x and y. y = 2x y = 8x?

A:

Q: Find the derivative of the function y = 63x−4

A: We have to find derivative of y=63x-4. Taking log on both sides of given function,…

Q: Use implicit differentiation to find y’’ of the equation x^2y^2=8.

A: Differentiate as follows.

Q: Find the derivative of the function. y = (2x − 7)3

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Q: Find the derivative of the function. 7+ 9x - 6/x y = y' =O

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Q: 5x- 1

A: Use the concept of derivative of the form f = u/v.

Q: Find the derivative of the following equation.    (x3-2)2/(3x+1)3

A:

Q: Y = (3x3 + 2)4 ; y"

A: We have  y=3x3+24 Differentiate function "y" with respect to x. y'=dydx=ddx3x3+24 Apply the chain…

Q: y varies directly as x can be modeled by the equation______ , where k is called the_______ .

A:

Q: For each problem, use implicit differentiation in terms of x and y. | 4. 4x2 = 2y3+4y 5. 5x3 = -3xy…

A:

Q: Find the derivative of the function. y = (7x + 3)4

A: We have to find the derivative of the function: y=7x+34 We know the following formula of…

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: Y = (7x³ + 3)6 ;y"

A:

Q: Use the quotient rule to derive the given equation

A: Given,           ddxcscx=-cscxcotx

Q: Use implicit differentiation to find y’’ of the equation x^2y^3=8.

A: Firstly, we differentiate the both sides of equation  with respect to x by using product rule of…

Q: Find the derivative of the function y=3√2x2.

A:

Q: Suppose that y varies directly with x, and y = 20 when x = 8. (a) Write a direct variation equation…

A: Solve the equation

Q: y varies directly as x and inversely as z can be modeled by the equation_________ .

A: we have to fill in the blank: y varies directly as x and inversely as z can be modeled by the…

Q: Get the second and third derivative of function: y'= 3x^2y^2

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Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

A:

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: The equationx - y2 = 0 implicitly defines whattwo functions?

A: x-y2=0 Now solve for y  y2=xy=±x  , x>0

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

A:

Q: Find the derivative

A:

Q: Graph ƒ(x) = 2x4 - 4x2 + 1 and its first two derivatives together. Comment on the behavior of ƒ in…

A: Given: ƒ(x) = 2x4 - 4x2 + 1

Q: -y = (x2 +5x)3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: x² – 4y² = 5; y"

A:

Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: What is the derivative of y = 4e"*+1 + 2x4

A: It is given that, y=4ex3+1+2x4 we have to find its derivative.

Q: If y varies directly as x and inversely as z and if y = 21 when x = 14 and z = 6, find the constant…

A:

Q: Find the derivative of the function y=9x+1/8x−5 and simplify the answer:

A: