Chapter 3, Review Exercises, Question 036 Find the derivative of the given function. g(x) = arctan(8x2...
QUESTION 9 Apply the techniques of logarithmic differentiation to find the derivative of the given function f(x). [Hint: first take the logarithm of both sides and simplify using properties of logarithms. Then differentiate implicitly.) F) - ** (3x+1) {f(x) = {{x^2 (3x + 1)^3} /(sqrt(x^2 + 4))] } TTTT Paragi Arial 3 (12p *DOQ E T' T. . 15 25 Path: P QUESTION 10 Find the derivative of the following expression involving inverse trigonometric functions. g(x) = arctan x +...
Find the derivative of the function. g(x) = 800(3 - e-0.1x) Find the derivative of the function. y = :ets Find the derivative of the function. y = 4e(x2 + 6)3 Find the derivative of the function. y = In(e2x + 3)
STANDA! Chapter 3, Section 3.3, Question 036 x Incorrect. Find all numbers x that satisfy the given equation. (log(6x)) log x= 3 Enter your answers in increasing order. Round your answers to five decimal places. 1.38613 Click if you would like to Show Work for this question: Open Show Work with no attempts available Question Attempts: 2 of 10
#1,2,4,5,7 Chapter 4 Functions of Two Variables Applied Calculus 272 4.3 Exercises For problems 1 through 6, find f/, f, and f, for the function given. Confirm that ух 3. f(t,y)-Sxy 4. f(x, y)-e" 5.(x,y)-In(axy+2x-6y) y4-5 7. Find the critical points of f(x,y)-ys_x3 + 15x2-12y+12 and use the Second Derivative Test to classify them. If the test fails, say "the test fails. 3 Chapter 4 Functions of Two Variables Applied Calculus 272 4.3 Exercises For problems 1 through 6, find...
Chapter 3, Section 3.2, Question 009 Find the derivative of the given function. y = + 8 Vx Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b)/(1 + n).
Chapter 11, Review Exercises, Question 015 (a) Find the area of the triangle with vertices A (6,4,3), B (4,6,4), and C(11,9, 1). Enter the exact answer. Area = Edit (b) Use the result in part (a) to find the length of the altitude from vertex C to side AB. Enter the exact answer. Length ? Edit Chapter 11, Review Exercises, Question 017 Consider the points A(3,-3,2), B(4, -5,0), C(-1,-4,0), D (6,2, -3) (a) Find the volume of the parallelepiped that...
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
Question 8 (9 marks) For the function given by f(x) = are arctan(r3), find (a) dom(f) (b) dom(f'). (c) dom(f"). (d) Any stationary points of f. (e) The interval on which f is concave up. (f) The interval on which f is concave down. (g) Use parts (e) and (f) to determine whether f has an inflection point. Question 8 (9 marks) For the function given by f(x) = are arctan(r3), find (a) dom(f) (b) dom(f'). (c) dom(f"). (d) Any...
Chapter 5, Review Exercises, Question 013 x Evaluate the integral ✓ dx by making the substitution u = x - 6. (1x2 - 6x4 - 12x2 Enter the exact answer. Ir-ore- dx = ? Edit +C (x2 - 6V4 – 12x2
Find an equation of the level curve of the function g(x, y) = yż arctan(2) that passes through the point P(1, - 1). Write your answer as an equation in terms of y and a.