Calculate the derivative of the function: f(x) = ln((x+2)5x³(x - 5)6) Note that this is not quite logarithmic differentiation since the log function is already there in front. But you can still use the log laws to first simplify the expression before differentiating. f'(x) =

Q: Why might one prefer to use the logarithmic differentiation for finding derivatives of functions…

A: To find- Why using of logarithmic differentiation when finding derivative of functions.

Q: Find the derivative of g(x) = 4x tan x.

A: The given function is: g(x)=4x5 tan(x)

Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

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Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

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Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

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Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: Find the derivative of the inverse of the function f(x)=x* – 5x² +1, for 0<x<2, at the point (-3,1)…

A: To find the derivative of the inverse of the function f(x)=x4-5x3+1 at a point (-3,1), where (-3,1)…

Q: Differentiate the function. y = (2x² − x + 1) (-x5 + 3) y' = 5

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Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

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Q: Explain briefly how we can compute the derivative of a function y=f(x) using logarithmic…

A: Logarithmic differentiation is an important method of differentiation. To find the derivative of the…