The derivative of the function y = log2(In(x)) is: 1 1 y': x In 2 In x y' = x In 3 ln x the above the above y' = x In 5 ln x the above none of them

Q: Compute the derivative f'(x) for f(x) = log(x*) sin(x³).

A: Topic - derivative

Q: ln(x) is just defined for x greater than 1. Select one: True False

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Q: Find the derivative of k(x) = log3(x) cos

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Q: f(1) = F + а. b. g(x)=In(x)e3r с. А(0)- sinh (0.50) k (x) = 2.x +1 x² - 2 d.

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Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: Use logarithmic differentiation to find dy/dx. y = (x + 1)(x-3) x>3 Step 1 The given function y is…

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Q: Differentiate the function. g(t) =  ln    t(t^2+1)^6                   3rd root of 8t-1

A: The solution are next step

Q: You want to differentiate Y = E coe) so you take the the natural log of both sides, first. What is…

A: Consider the function y=lny.

Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

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Q: xy + e^y = ln(x + y) defines y as a function of x implicitly for the most part. Express dy/dx in…

A: Given an equation, Where y is a function of x.

Q: Use logarithmic differentiation to evaluate f'(x). (x + 8)57*(x- 1)7/4 f(x) = (3x +2)7/3

A: Given : Function fx = x+85/4x-17/43x+27/3   To find : Derivative of given function f(x) using…

Q: Sx2 - 1 x > 1 (1- x, x < 1' 3. Show that the function f (x) = has no derivative at x = 1.

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Q: Which of the following statements is false for functions f(x) and g(x) and constant c? O (c - f(x))…

A: Given query is to find which statment is false.

Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: Or expresTUI A dx y(x In y-y) x(y In x-x)' dy Q13: Prove that or y for expression x y* is equal to y…

A: Here I am attaching image so that you understand each and every step.

Q: How is ln x affected if x is multiplied by et?

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

A: Using logarithmic differentiation.