4,Differentiate the function.(3) f(x)= In2.x²(x+2)³(3х - 2)5(4) f(x)=In,|(x+1)(x+2)x(х — 1)5,Find y' and y".(2) f(x)= log,0 *

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Answered: 4, Differentiate the function. (3)…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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10) Find the second derivative of f(x) =x3/2 -x 1/4+ 5x - 2
A product is introduced to the market. The weekly profit (in dollars) of that product decays exponentially as function of the price that is charged (in dollars) and is given by �(�)=85000⋅�-0.04⋅�Suppose the price in dollars of that product, �(�), changes over time � (in weeks) as given by �(�)=49+0.81⋅�2Find the rate that profit changes as a function of time, �′(�) dollars/weekHow fast is profit changing with respect to time 4 weeks after the introduction. dollars/week
Find f'(x) and simplify. X x + 36 f(x) = Which of the following shows the correct application of the quotient rule? O A. O B. O C. O D. f'(x) = (x)(1)-(x +36)(1) [×]² (x)(1) - (x +36)(1) [x+36]² (x+36)(1) − (x)(1) [x]² (x+36)(1)-(x)(1) [x+36]²
Use logarithmic differentiation to find the value of f '(1) for the given function. (3x - 2)13 (4x - 3)°(7×- 6) 6 f(x) = (12x - 11)* (14x - 13)°(16x– 15) 4 f '(1) = (Simplify your answer.)
Ex. 1. Compute the derivative of the function f(x) =+3x' at the point 4, using the definition. Ex. 2. Find the derivatives of the following functions: 3 a) f(x) = Ix. logx b) g(x) = avesin3x 31-2x Ex. 3. Find the derivatives of the following functions: a) f(x) = arctge" b) g(х) %3D Ex. 4. Find the equation for a tangent to the graph of the function y = {6«) at the point (e f (e) ).

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4, Differentiate the function. (3) f(x)= In 2.x²(x+2)³ (3х - 2)5 (4) f(x)=In, |(x+1)(x+2) x(х — 1) 5, Find y' and y". (2) f(x)= log,0 *