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

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

A: we have to find the derivative of y by using logarithm.

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x

A: Given Data: Function: fx=x3+2xlnx The product rule of derivative is, ddxfx·gx=fxddxgx+gxddxfx Use…

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

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

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

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

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Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

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Q: Please I want solution of question 7 with step by step. Many Thanks

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Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

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Q: Find the derivative of k(x) = log3(x) cos

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Q: If f(x)=In(x-1), find the formula for f^((n))(x), the nth derivative of function f(x) f(x) = ln (x –…

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Q: y = ln 1-x² 1+x²

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Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Find Find the second derivative of the given function. y = In(x² – 1)

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Q: In the given question as follows, find the derivative of the function.   y = ln(2 - e5x)

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Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: 4. Find an equation of the tangent line to the graph of f(x) = ln(x ^2 + 4) at the point (2, ln(8))

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Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: x²Sin(x) y = In 2x + 1 9.

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Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

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Q: Find the derivative of each function h(x) = 2x³ In x h(x) = 6e*(1 –- 5x) g(x) = 3 sin x cos x + 2x…

A: Given, The functions  hx = 2x3 lnx  hx = 6ex1-5x  gx = 3sinx cosx +2x  We have to find the…

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

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Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: Compute the derivatives of the given functions. f(x) = 5 ln x   f'(x)= ? g(x)= ln (x^5). g'(x)= ?

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Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: 1. Find the first derivative of y: y=x-6x³+2x²

A: Topic = Derivative As per guidelines , At  a time only one question can be answered. please repost…

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: In(3x) Find the derivative with respect to x of y 3x

A: We will use the quotient rule of differentiation to find the derivative of y. Chain rule of…

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

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Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: 8. y = In (x³ + 3x – 4)

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Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

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Q: (x² +SJ° In 14-X つ. dr

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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: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

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: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

Q: 1- Find the first derivative of y with respect to x for the following functions: In5 7x y = log5 . a…

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Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

A: