(x-a)? + y? = a? -> eliminate arbitrary of constant

Q: Find the first and second derivative if 1 w = 3z-2 ミ

A:

Q: Find the derivative if w=(2x-7)-1(x+5)

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Q: Find the derivative of the function. x² + 2 y = 2 – , - 2 -&x(x² + 2, y' = (2² – 2)4

A: Given: The function is, y=x2+2x2-27. The objective is to find the derivative of the function.

Q: Find the derivative of the function. f(x) = (2x³ – 8x?+ 7)1

A: topic - derivative of a function

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: FInd the derivative of y=(5x-3)5(2-x4)5

A:

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 [6x(x^4 +1)^5]

A: Explanation of the answer is as follows

Q: btain the derivative of the function y х- 4х -12 y= х? + 5х + 6

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Q: Find the values of X where the tangent line is horizontal. +(x)=x"-4x?-8x+9 2.

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Q: If x + y represents a motorboat’s average velocity with the current, in miles per hour, its distance…

A: We can say Average Velocity=Average DisplacementTotal time=dt so according to the question…

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: Find the 1st and 2nd derivative of : c1e^2x + c2xe^2x

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Q: x5/2+4 x3 y = 3

A: We have to find the derivative of the given expression: y=x52+4x3x3 Simplifying the given…

Q: x'-3x+5 3) y= x² +1

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Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: compute the derivative y = (2 + 9x2)3/2

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Q: F(x) = -7+ x2 INTERUAL-ピ-3 -2. AUERAGE RATE of

A: Given query is to find the rate of change for the given interval.

Q: Find the derivative of the function

A: Given function:

Q: 5. Iny+ea²²x+y = 10 -

A: The given equation is lny+ex2y2-x+y=10. Find the derivative of the equation. Here we use the…

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

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

Q: find the first and second derivative: x=(t-2)5/2 y=t3-5

A:

Q: Find the derivative. [2x(x^6+1)^3]

A: Let y=2x(x6+1)3

Q: Use the product rule to find the derivative. y=(2x*2+5)(4x-5) y'= ?

A: GIVEN DATA : The function y=2x2+54x-5        TO FIND : Derivative y' by using product rule For the…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: ∫ 2x4x2-102dxTake the constant out:  ∫a·fxdx=a·∫fxdx=2·∫ x4x2-102dx=2·∫ 16x5-80x3+100xdxApply the…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

A:

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: Suppose that y varies directly as x. When x is 9, y is 4. Solve for y when x is 72. (Enter an exact…

A: y varies directly as x. So y=kx

Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 8x?)-1 y' =

A:

Q: If y=x, then the value of fourth derivative (ylny is- 6x 6. 3x2

A: The correct option is 2nd option.i.e. 0

Q: Y = (7x³ + 3)6 ;y"

A:

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: What is the derivative of: 7/x^(2/5)

A: Given:

Q: Computate the derivative Y= 9X V1-9x

A:

Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

A: General rule of differentiation is  ddxxn=nxn-1

Q: у 3 1og(3 - 4x + х')

A:

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

A:

Q: find the derivative 4)=(+2-3++|(A-5+-7) (+ー3ナャ)(+3ー5t +プ) %3D

A: First expand the product of polynomial as a single polynomial from that we can easily differentiate…

Q: 24. y = e-, y = 0, x = 0, x= 1

A:

Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x° + 36x? + 192x + 12

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Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

A:

Q: Find the derivative, but do not simplify your answer. y = (7x6-5x4 + 2x² − 1)(4x8 + 3x6 – 5x² + 4x)…

A: As we know that: The product rule: f·g'=f'·g+f·g' The Power law: ddxxn=nxn-1 Given:…

Q: Solve for X Iの) リ-X 2メ-S) こ X ta

A: Given, ln2x+1x+2=lnx-12x-5 Taking exponential on both sides, we have eln2x+1x+2=elnx-12x-5…

Q: Find the derivative and simplify. y = (6x + 5)(x? - 3x). y' =

A:

Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132