Finding inverses Find the inverse function.
62.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus Enhanced with Graphing Utilities (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- Inverse hyperbolic tangent Recall that the inverse hyperbolic tangent is defined as y = tanh-1 x⇔x = tanh y, for -1 < x < 1 and all real y. Solve x = tanh y for y to express the formula for tanh-1 x in terms of logarithms.arrow_forwardcan you explain.. differnate this function with the respect of x F(x) = (x^8 + 3)ln x^5)arrow_forward1. Solve for (f-1)'(3) if f(x) = x3 + x +1 2. For the function f(x)=x-1/2, x>0. Find: a. the inverse function (assume that f(x) is a one-to-one function) b. find the derivative of the inverse.arrow_forward
- 2)Find the first and second derivative of the function for x greater than zero. f(x)= ln(x) f '(x) = f ''(x) = i)Is the first derivative positive or negative? ii)Is the second derivative positive or negative? iii)Which of the following describes the graph of y = ln x? Decreasing and concave down Increasing and concave up Decreasing and concave up Increasing and concave downarrow_forwardln(x) < 0 solve for xarrow_forwardFind the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) f(x) = ln x / 8 inside the radical of square root over x decreasing__________ increasing__________arrow_forward
- Disprove the statement ln x / ln y = ln x - ln y, by, a) Letting y equal a positive constant of your choice, and b) Using a graphing utility to graph the function on each side of the equal sign. The two functions should have different graphs, showing that the equation is not true in general.arrow_forwardThe functions ƒ(x) = ln 5x and g(x) = ln 3x di¦er by a constant.What constant? Give reasons for your answer.arrow_forwardConsider the function given by where g(x) is a differentiable function. a) Use logarithmic derivation and get an expression for the derivative of y. b) Using what { g(-2) = 1 e g'(-2) = 2/5. find the derivative of y evaluated at x=−2. Simplify your answer and don't make approximations.arrow_forward
- Solve the equation algebraically. Round your result to three decimal places. Verify your answer using a graphing utility. (Enter your answers as a comma-separated list.) 6x ln x + x = 0arrow_forwardHow do you know that the functions sin x, ln x, and ex are not polynomials? Give reasons for your answer.arrow_forwardDifferrentiate:y=(x-h)^yy=(sin(x^2-2t))^3-(log2(x^0.5))/(x*(e^(x^2)))arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt