What is the derivative of In(x?) et2 2e*? – 2x?in(x²)e*² (A) et2 2e*? – 2x?in(x²)e*² B xet? 2– 2r?In(x²) (c) et2 2– 2x?in(x?) (D) xe*²

Q: Let h(x) = x5 + 9x4 - 2x³-9x² + 4x Determine the third derivative of h. d³h dx³ =

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Q: 6) Let h(x) = x7 + 2x +. Find h'(x).

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Q: h(x)=In( x² ) +(x³-1 ) es*-10 Calculate the derivative at x=2, that is h'(2)=

A: Use chain rule of differentiation First differentiate with respect to x and then put x =2

Q: (A) (B) (C) (D) (E) What is the derivative of 1 x² + 1 1 x + 1 1 √x² +1 X x² +1 2x x² + 1 f(x) =…

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Q: v(x)u'(x) then h(x) = u(x))~ u(x) + (In (u(x))v'(x)) thenh(x)= u(x)" Use the above definition to…

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Q: = In (2x) + cos (6x)

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Q: 74. Which of the following represents the nth derivative of y=(1-x)/(x-2) ? A. (-1)^(n+1)…

A: To find: nth derivative

Q: to set Up Tutoring: (888) 1. Take the derivative of y = (7+x)(7+z) select Derivative does not exist…

A: The objective is to find the derivative of y=(7+x)(7+x)2 .

Q: Find the derivative of f(x) = 6(—).

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Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: In(x²) What is the derivative of

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Q: If f(x) = and g(x) = Vx, then the derivative of f(g(x)) is -VE (A) ( + 1) (B) -(x + 1)- -2x (C) ( +…

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Q: If g(x) = In(12x7 – x), then the derivative of g'(x) is O 12x7 – x | O 84x6 1 84x6 1 12x7 O 726 12x7…

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Q: Which of the following f1(x) is the derivative of f(x) =7x2 + 5ex −1/2? a. f1(x) = 14x + ex b.…

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Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

A: Given f(x)=(x2-3x)(7x+15)DIfferentiate…

Q: Find the derivative of (a) (교2 + 1)" (6) In(cos²(e2")) 2x (c) sin-1 e-1 dt x +1 In a

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Q: 6) Consider the exponential function f (x) = ex* [C:4] a) Determine the n-th derivative of f(x). b)…

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Q: read the following headline about COVID-19 vaccinations: "The vaccination slow down is slowing…

A: Headline about COVID-19 vaccinations is given as- "The vaccination slow down is slowing down.'' Now…

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

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Q: 1 Find the derivative of the following function: f(x) = e2X(3x² - vx) 2e2X(6x - 1/x) O e'(6x -…

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Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: II. Find the first derivative of the following functions 1) S(x) = [√² + (x¹+4)*]* 10

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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: Suppose f(-3) = 3, f'(-3) = 5, = -8, and %3D g(-3) = 1, gʻ (-3) = H(x) = f(x)e®(x). Find the…

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Q: If g(x) = g'(x) is = In(6x° – x), then the derivative of -

A: Differentiation with respect to x,

Q: - 3. Use product rule to find the derivative of the following fur (a) f(x) = 3e5. ln(2x² − 3x +π).…

A: according to bartleby guide line we supposed to do only first part of multiple questions. (a)  given…

Q: 3. Differentiate. x²e* f(x)%3= x² + ex

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Q: h(x) = In (2x-2)+(x² +1)e³x-6 %D Calculate the derivative at x=2, that is h'(2)=

A: calculate the derivative as shown below: h'x=ddxln2x-2+x2+1e3x-6…

Q: Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse…

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Q: Q3: find the derivative of In(x4+3x-1) a) f(x) = %3D x²+1 b) f(x) = 4x³ . log(x² + 2x) %3D c) f(x) =…

A: Use product rule of differentiation.

Q: Find the derivative. 11) f(x) = e4x ln x e4x X A) C) 4e4x X B) D) e4x (1 + 4x ln x) X e4x (1 + ln x)…

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