- 3. Show that if y = ln (-¹), then -1 V'(x) = { Hint: Recall that the domain of the natural logarithm is (0,00). if 0

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A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

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A: we have to derivative

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A: Without using a graphing calculator,  Show the function zx,y=1-lny in the graph and its traces.

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Q: Vx-5 5. Find for y = In| Hint : Use the properties of the logarithm dx \4x3+1 function before…

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Q: 11. f(x) =log, 1+x

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

Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: Differentiate. y= 11* . log 7x dx (11*. log 7x) =O

A: Given that

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A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 1 (log, x)' 3x ise b =?

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Q: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

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Q: uppose ƒ(x) = 9* log5 (x). Find: -¹'(x) = ote: Enter In(a) In(h) for log, (a).

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Q: 1. f'(x) is usually the same type of function f(x), unless f(x) is an exponential function a…

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Q: Find the derivative f'(x) if f(x) = log 3x² A. (2/x) log 3x B. (2/x) log e C. (3/x) log 3x D. (3/x)…

A: Solution

Q: 1. ₂ F₁ (1,2;3;x) = log{e(1-x) = 2

A:

Q: Use y = log(x + H) where H is a positive constant to answer the questions below. (a) If we increase…

A: Use y = log(x + H) where H is a positive constant to answer the questions below.   (a) If we…

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

A:

Q: 5. Differentiate the following natural log and e functions. y = In (12 - x - 5x²1) a. b. C. y' 11 y'…

A: Sum rule of differentiationProduct rule of differentiationChain rule of differentiation

Q: 15. If the points (2, 3), (-1, 0), and (-4, -1) are on the function f(x) = a*, what points would be…

A: Function fx=ax Points on the function fx=ax are 2, 3, -1, 0 and -4, -1

Q: For all positive numbers xvand ywith y≠1 ln(y)/ln(x)​=log(y)/log(x)​ true or false or impossible…

A: It is true