(10) Use logarithmic differentiations to find the derivative of (За? — 2)5 (2x35)7(41)-11 y

Q: Find the derivative of the function. 3x 9(x) = e+5.

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Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

Q: Solve for the 4th derivative of function K K= x3Cos√x

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Q: 1. Find the derivative of each of the following functions using chain rule: y=3x* (x* -2) a)

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Q: 3. Find the derivative of g(z) = V9- using the definition of derivative.

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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Q: Calculate the second and the third derivative of y =ar y" -(8/(pix^5)) -(48/(nix^7))

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Q: 3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x

A: The given function is, y = x.Take log on both sides of the function.

Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D…

A: Solution is below

Q: Find the derivative of the given function from the first principle ax2+bx+c

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Q: Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

A: 5. y=cschθ1-ln cschθ6. y=log31+θ ln3

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: Find the derivative of f( x ) = 2* log,(z + 5.5) f'(z) = %3|

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Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

Q: Find the derivative of the function.

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Q: What is the derivative of y = e3 In(5 + e3)? %3D

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Q: 5. y³ = 4(y + x²)

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Q: A. Find the derivative of the given function at a given number 1. y =3x -2 at f(1)

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Q: 1. Apply the different rules for differentiation in finding the first derivative of the following…

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Q: 4) Find the derivative of each function. a. f (x) = In(x² – 4) In e c. f (x) = b. f (x) = x² ln x

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Q: Suppose h(x): . What is the correct result of the derivative of h with respect to x? 3x · In (5)…

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Q: 2) Use logarithmic differentiation to find the derivative of: /(x) (r²+3r + 4)*+1,

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Q: Compute backward difference approximations for the first derivative of the function, y = log(x² +…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: Which of the following is not a notation for the derivative of y in terms of X.

A: Derivative is a function which measures the slope. And we find by differentiating a function of the…

Q: Q3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: Find the derivative of Log(z²). 2/22 1/22 1/z 2/z

A: The correct option is 4th option.i.e. 2z .

Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

Q: Find the derivative of the function. y = log 6 V3x+7 3. O A. In 6 3 In 6 O B. 3x +7 In 6 (3x + 7) 3…

A: Given, y = log63x + 7Applying the log rule; logab = lnblnay = ln3x + 7ln6Differentiating with…

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

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Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: 3. Find the derivative of (x² + 3) (3x – 3)² Y = Vrez+1 Hint: Use logarithmic differentiation!

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Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

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Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

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Q: 6.) Find the derivative of the fonction 2 8- g'cx) =

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Q: 8 Find the derivative of f( x ) = x° log, (x + 3). f'(x) : = (x).f

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Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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Q: 4. Calculate the derivative by the logarithmic differentiation and then calculate g' at the…

A: Use log rule to evaluate

Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

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Q: e2x %3D e2a + 1

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