(c) f(x) = x |6. Find the derivative of the following functions using logarithmic differentiation. x(x+2) (2x+1) (3+2) (a) f(x) (2r1)(422)x - 9 (b) f(x)

Q: 3. Find the derivative of the following functions: a. f(x) = (x² + 1)(x³ – 2x² – 1) f(x) = b. 2 +…

A:

Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: 3 Find the derivative of f(x) = x°e*.

A:

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

A:

Q: 5. Use logarithmic differentiation to find the derivative of these functions. (a) y = /Te* (x² +…

A:

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

Q: Find the derivative of f(x) =log,14-7x| 1 O a. f'(x) = (4-7x) In2 -7 Ob fl(x)= f'(x)=- (4-7x) In2 -1…

A: f(x) = log2 |4 - 7x| We are required to find the derivative of f(x).

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: Given that the function f(x) = | x - 1|

Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

A:

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

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Q: Find the derivative of this complex equation using logarithmic differentiation?

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Q: x²+x+4 What is the first derivative of r(x) = log, x°cos x

A:

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

A:

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

A:

Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 9. Find the derivative of the following functions (show all the steps for full credit): D f(x) = =…

A: Derivative of ex is ex

Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

A:

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

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: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A:

Q: Let h be a function that has second derivative (x+ 1) (x – 2) (x + 4)e5 h"(x) Is x=2 the…

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Q: (12) Find the derivative of the function Y = cos (a³ + x³)

A:

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: x°(x – 4)5 Let f(x) (x² + 5)° Use logarithmic differentiation to determine the derivative. f' (x)

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides

Q: 6. Calculate the derivative by logarithmic differentiation and then evaluate g' at the indicated…

A:

Q: Find the derivative of the function. g(x) = 500(5 – e-0.1x)

A: Given,           g(x)=5005-e-0.1x

Q: 1. Find ALL THE DERIVATIVES of the function: f (x) = 2x7 – a5 + 5a³ – 8x + 4 2. Use logarithmic…

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Q: 8. y (1 + x³)(3 – 2x) 10. y = (x2 + 3)(x² – x + 1

A:

Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

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Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

A:

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

A:

Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

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

A:

Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

A:

Q: 2. Given f(x) = x³ – 2x² + x + 2, find x e (-1, 3) such that f'(x) = 5. 3. Compute the derivative of…

A: Since you have posted multiple questions, as per our guidelines we are allowed to answer the first…

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: Q/3: Use logarithmic differentiation to find the derivative of y with respect to the given…

A: .

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Q: Find the derivative of the function

A: given h(x)=log3xx-12we have to find the derivative of the given function

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Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

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Q: Find the derivative of the function. h(x) = log,(x2 + x) h'(x)

A: Differentiation

Q: e) The function f(x) = log(x)log(x) with x %3D Jse fzero to find a zero of its derivative. What is…

A: The given function is f(x)=log(x)log(x); with x≥1

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

A: Use log rule to evaluate