Find the derivative of f(x) Give answer in exponential notation with positive exponents

Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

A: Since the placement of the radical sign is not clear whether it includes x or no, the question has…

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

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Q: . Use logarithmic differentiation to find the derivative of the function. x-1 y= x*+1

A: We can find the derivative as below using logarithmic differentiation

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

A: Take log then differentiate

Q: Find the derivative of the inverse function to f(x)=ex-e-x

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Q: use logarithmic differentiation to find the derivativeof y with respect to the given independent…

A: Applying natural logarithm on both sides, we get

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

A: aur objective is to find the derivative.

Q: use logarithmic differentiation to find the derivative of x^(x+lnx)

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Q: Find the derivative of the function. X-1

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

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

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Q: Use logarithmic differentiation to find the derivative of the function. y = x8x

A: We have to find the derivative of the function y=x8x by using logarithmic differentiation.

Q: Use logarithmic differentiation to find the derivative of the function    y=(2x+1)5(x4-3)3

A: Given,          y=2x+15x4-33

Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin sin x

A: given function:-    y = x4sinx

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

A: We need to find derivative of y = x8 cos x

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

A: To find the derivative of the given function.

Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: Use logarithmic differentiation to find the derivative of the function. y = (5x + 1)°(x – 6)° y =

A: we have to find the derivative of the given y

Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x))8/x y' =

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Q: Use logarithmic differentiation to find the derivative of the function. y=cos(3x)^x

A: The given function is y=(cos(3x))x

Q: y=x²

A: I have stated the used formula in the solution

Q: х — 3 y = х° + 3

A: topic - logarithmic differentiation

Q: Use logarithmic differentiation to find the derivative of the equation. Y= (x + 1)^2*(x + 2)^3

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Q: Using logarithmic differentiation, find the first derivative of y=x√2x .

A: We have to find the first derivative of the given function using logarithmic differenciation.  In…

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

A: Here given for x>1

Q: Use logarithmic differentiation to find the derivative of (2x + 3)2/2- x (x – 1)3

A: Given,          y=2x+322-xx-13

Q: Use logarithmic differentiation to find the derivative of the function X - 4 y 3 y' X

A: First we take ln on both sides and simplify.

Q: Find the second derivative using implicit differentiation of the given xì + yi = a

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Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Find the derivatives of function (log x)tanx

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

A: Given, y=(tanx)1x use logarithmic differentiation or an alternative method to find the derivativeof…

Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

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Q: Use logarithmic differentiation to find the derivative of the function. y = (square x) exponent 9x

A: Use logarithmic differentiation to find the derivative of the function. y = x2e9x

Q: Using method of logarithmic differentiation, find the derivative of y = (x³ – 2x)(3r+5) -

A: We need to find the derivative of x3-2x3x+5. So,             x3-2x3x+5' Apply exponent rule:…

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

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Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = x° + 5

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

A: the given function is: y=xx we have to use the logarithmic differentiation or an alternative method…

Q: Evaluate the derivative using logarithmic differentiation if y = (x + 7)(x + 4)(x + 9). y' =

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Q: Find the 1400th derivative of f(x) = xe-X.

A: Here we find derivatives of function.

Q: Use logarithmic differentiation to find the derivative of the function. y = (4x + 1)°(x* – 2)6

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Q: Use logarithmic differentiation to find the (3x + 1)* (x – 4) - derivative of f(x) (x2 + 1)° ·…

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i…

Q: Use logarithmic differentiation to find the derivative of the function. 4/ x y = x*

A: Given function, y=x4x

Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: Use logarithmic differentiation to find the derivative of the function Зx VX у 3 У'3

A: To differentiate the following function

Q: Find the derivative using logarithmic differentiation. x(x + 4) (5x + 1)(3x +7) (Express numbers in…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x))7/x

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Q: Use logarithmic differentiation to find the derivative (3x + 1)*(x – 4) of f(x) = (x² + 1)° - sin(x)…

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx