Select all the lines that are needed to find the inverse of y = log, (x + 1) – 2 in the appropriate order.

Q: Find the derivative of the inverse function for y=2x3−1 and calculate its value at x=2.

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Q: Differentiate the function. f(x) = log,(7 – 4x) %3D f'(x) =

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Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: Express the new function j(x)=log(−x) in terms of the original function g(x)=log(x)

A: Given that jx= log-x It is required to express j(x) in terms of g(x)= log(x) Consider jx= log-x…

Q: Find the derivative of each function. a) f(x) = Vx2 +1

A: take derivative

Q: . Use logarithmic differentiation to find y'(0) if y = Vcos3 r V5+

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

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Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Find an anti-derivative for each function when C equals zero

A: Now we will find the antiderivative of the given function when c=0.   [ antiderivative  mean…

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 the functions y = log5 (3x - 7)

A: Given: Function y = log5(3x - 7) To Find: Derivative of the given function  Concept Used: Chain Rule…

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 derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below:…

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Q: If f(x) = (6x – 4)° (2x² + 8)*, find f'(x) using logarithmic differentiation. |

A: y = 6x-432x2+84 Taking log both side , log y = log 6x-432x2+84 logy = 3log6x-4+4log2x2+8 {log(mn)=…

Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Compute the derivative of the given function. f(x)=−4x^π+4.1x^1.3+π^1.3

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Q: Find the third derivative of the function f(x) = (1) / (2x-1)

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Q: h(x) = e= a + 4 – x2

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Q: Use logarithmic differentiation to find y'. y = (x² + 2)°(x² – 8)7 %3D -

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Q: Show that log, (x + Vx² – 1) + log,(x – Vx – 1) = 0.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

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

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Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: Use logarithmic differentiation to find y'. y = (x2 + 2) (x4- 4)3 |

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Q: x* + y* ди ,showthat ди + y- 3 If u(x,y) =log х+у ду

A: For the given  u(x,y) =log(x4+y4x+y)

Q: What is the derivative of (9x² + 14)2 (20x2 +11a- 15)3 123 e y = with respect to x? Hint: Take the…

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Q: Solve for the derivative of the given equation below. x2+1 f(x) x2-1

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Q: Use logarithmic differentiation to find for the function dx (x3 +5) y = e2a /2x – 1 -

A: y=x3+5e2x2x-1taking log on both sidelogy=logx3+5e2x2x-1apply log…

Q: Find y" by implicit differentiation.   9x2 +y2 = 9

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Q: Find the derivative for each function: h(x) = e ^ ( - x^2 / 2 )

A: h(x)=e-x22Differentiate both sides with respect to xh'(x)=ddxe-x22h'(x)=e-x22ddx-x22 [chain…

Q: 2 X xVx? +1 %3D 2 X+ 3

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Q: Would you be able to find the derivative of the inverse of this function. (x^3+4x+4)^1/2=y.     a=3

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Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

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Q: Use logarithmic differentiation to find y'. y = (x^3 − 2)^5(x^2 + 6)^4

A: See below the answer

Q: Find the differential of the function y=xex2.

A: Here the given function as Use the product rule of derivative which states

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

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

Q: What is the domain of the function f (z) = log, (z - 3) + 4?

A: SOLUTION-

Q: Find the derivative of the function. h(x) = log,(x² + x) h'(x) %3D

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

Q: Determine the zero for the function f(x) = log, (2x-7) %3D

A: Using the property of Lograthmic function If , Log bM= N then ,M= bN.

Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that…

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Q: Find the derivative of the inverse function for y=x3−3x and calculate its value at x=−2.

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Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the derivative of the inverse function for y=x⋅3x provided x>0.

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Q: Determine the x intercept for the given function y = log(4x + 3)

A: The given function is y=log4x+3. The x-intercept of the any function is given by  y=0.

Q: Find the derivative of the function. 4x° +8 y = y' =O

A: We have to find