sqrt(x)"[e^(x^4)]*[([(x^2)+1]^5)*[1/(2*x)]+4*(x^3)+ 1 10x 5 Væe + 4x3 2x [(10*x)/[(x^2)+1]] x2 +1 Use logarithmic differentiation to find the derivative of the function y = Väe“ (2² + 1)°. y = (sqrt(x)e^x^4)[(x^2+1)^5(1/(2x))+(4x'

Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)

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Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: True Or False: Derivative of (arcsin(x^3))^4 = [12x^2 (arcsin(x^3))^3] / sqrt(1-x^6)   Show…

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Q: what are differentiation of exponential functions

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Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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

A: Take log then differentiate

Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…

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Q: Use logarithmic differentiation to find the derivative of y. Y= x cos x divided by the squre root…

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Q: logarithmic differentiation to find the derivative of y with respect to the independent variable. #2

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Q: Describe Leibniz’s notation for the derivative?

A: The derivative of a function is defined as the rate of change of a function y=f(x) with respect to…

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: Use logarithmic differentiation to findthe derivative of the function? of an alterative y= (Cos ax)*

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Q: Nth Derivative Of x3 ln(x) Problem Based On Leibnitz Theorem

A: To Determine: find Nth derivative using Leibnitz theorem. Given: we have x3logx Explanation: we have…

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: y = (lnx)lnx Take log to the natural base e on both the sides to get,

Q: Can you explain how to find the derivative of a rational power with the power rule as well as how to…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (sin 3x)In x sin()…

A: Formula used:If (x) and g(x) are two differentiable functions, then following rules  are efined as;

Q: Fin derivative of the funclions. y=Log

A: The given function is: y=log3xx-12

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

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Q: . If we did not have logarithmic differentiation, what rules would we need to use to find the…

A: Solution

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(6x))x y' =

A: Use log to differentiate

Q: finding the derivative using logarithmic differentiation for x^(-9/x).

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Q: This is determined by the largest derivative, or the highest level of differentiation, present in a…

A: The highest level of differentiation present in a differential equation is known as "order" of the…

Q: What are the formulas for differentiation and integration? How to apply those formulas?

A: See the attachment

Q: Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please…

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Q: Find the derivative of y with respect to x Y=5 ln (3 ln x)

A: Given, y=5 ln (3 ln x) We have to find derivative of y with respect to x.

Q: Find the derivative of log (1041√1-cosx/1+cosx)

A: We have to find the derivative

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by…

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: 5. Use logarithmic differentiation to find the derivative of the function. (x2+1) tan2 x ソ= x3

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Q: Find the derivative using logarithmic.   sq root of ((x2-1)/(x2+1))          for x>1

A: Here given for x>1

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: See the details solution in below

Q: 1. y = 6x3 – 2x2 + 4x -7 2. y = V2x+1

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Q: Use logarithmic differentiation to find the derivative of the function. y = x7 cos(x) Step 1 Using…

A: Here, the given function is: y=x7 cos x⇒ln y=7cos x ln x

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: Find the derivative of the function. y = square root of 1 - x2 − x cos−1(x)

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Q: Use logarithmic differentiation to find the derivative of the function. y = (ln(x))cos(5x) y' =

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Q: Find the second derivative of the f(x)=9+8x ln x function

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Q: logarithmic

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Q: Find the derivative of f(x) = ln(2x^3 + x).

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Q: • If we did not have logarithmic differentiation, what rules would we need to use to find the…

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Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: If a function is increasing everywhere (and it has a derivative), then it's derivative function is…

A: explanation of above question is given below,

Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: Find derivative of function F(x)=2x/1-x²

A: If hx and gx are to differentiable function and fx=hxgx Then derivative of quotient is as…

Q: How to find the anti derivative of sin(x)/cos^3(x)

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Q: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: Find the derivative of the function. y=arctan(sqrt 1-x/1+x) Also, Would I be able to use…

A: Given :  y = arctan1-x1+x

Q: az and ax az Use implicit differentiation to find for x2 + 2y2 + 3z2: 1. ду

A: