Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e* In(b)

Q: 3. (a) Use logarithmic differentiation to show why the derivative of a is a In a, where a is a real…

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

A: Topic - derivative

Q: Determine the value of f"" (1) when f(x) = 4ln (x+3). 1. ƒ""(1) 2. f"" (1) 3. f" (1) 4. f" (1) 5. f"…

A: f(x)=4lnx+3d dx(lnx)=1xd dx(xn)=nxn-1

Q: Question number 65

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Q: Fast please.

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Q: means the derivative of the inverse function, evaluated at b. O U O b 1 (ƒ-¹)' (b) a f'(a) 1 ƒ' (ƒ-¹…

A: To determine the derivative of inverse function

Q: Vsec- (z) In(z) Find using logarithmic differentiation for y

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Q: Please don't use generated AI

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Q: 6) Consider the exponential function f (x) = ex* [C:4] a) Determine the n-th derivative of f(x). b)…

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Q: Differentiate the function with respect to the independent variable. f(x) = log 5 (x° +x) F(x) =D…

A: We have to differentiate with respect to x. Solution is given below

Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…

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Q: TOPIC 2: Derivatives of Logarithmic Functions (ba Basic Rules: (In x)': a) f(x)=- +2 In(x) 2 X .…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Where are the following functions continuous? a) f(x) = (2-x)/(x3 -x) b) g(x) = log(x2 -81

A: We have to find the point of continuity of the given function.

Q: Where is f(x) = e* continuous?

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