Question 17. Use logarithmic differentiation to find for the implicit function dx (1+x)5 (1– y)** %3D la) _5_ Y 1-x X 4 Inx- 1–x Inx [a] [b] 1-y [e] not in the list 5 1-x [c] 1-y Inx [d] (1-y) Inx-4

Q: y = log (cos(2x) );y'=* %3D %3D O 2 tan ( 2x ) / In (10) O - 2 tan ( 2x ) / In (10) O 2 cot ( 2x ) /…

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Q: Find the derivative of the function and evaluate (x) at the given value of x. 3x + 1 fx) = %3D ;ズミ3…

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Q: (a) y = 2** (b) y = log,(x* + 2x – 3)

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: If f(x) (4a - 3)'(7x2 + 8)", find f'(x) using logarithmic differentiation. Preview Get help: Video

A: Applying log on both sides to the given function, we get

Q: use logarithmic differentiation to find the derivativeof y with respect to the given independent…

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Q: a) Use Logarithmic differentiation to take derivative of y = f(x) = (x)ª cos² x (x3+1)3

A: We use Logarithmic properties

Q: Use logarithmic differentiation to find the derivative of y = sin(5x)1+5x; y = 5*(1+5*x)*sin Your…

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Q: /3 store the functian fCx) = (2.7x³-37+5) in your graphing utility. Usethe numeric differentiation…

A: Given: fx=2.7x3-3x+523 To Find: i. f'0 and f'4.3ii. Graph fxiii. Number of Horizontal Tangents

Q: Find w, where w3 = 1 + i. i? = -1.

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Q: Which of the following is the equation of the line tangent to the curve y=Vã at x=9? (11) y =x + 3…

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Q: If ƒ(x) = (8x − 3)³ · (2x² + 5)¹, find ƒ'(x) using logarithmic differentiation.

A: fx=8x-332x2+54

Q: Vx+2 Use logarithmic differentiation to find the derivative of the function. f(x)=- e (3x-1) i ora…

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Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

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

Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: Can you explain step by step

A: Step 1:If you need it in ln (i.e loge) instead of log ,write everywhere (ln) instead of logStep 2:…

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: Use logarithmic differentiation to find . Do not simplify the result. y = (5x + 1)(7x – 1) dy (5x +…

A: Using logarithmic differentiation.

Q: Q) Plot, on the same figure, three related functions of y1 = log(x) and y2 = sin(x-.2), in the…

A: The figure can be made using geogebra or desmos. First Plot the function y=logx as shown:

Q: 3 If f(x) = (5x − 2)³. (5x² + 4)³, find f'(x) - using logarithmic differentiation.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: