Concept explainers
In Exercises 3-6, compute the given derivatives with the help of formulas (1)-(4).
a.
b.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Calculus & Its Applications
- Solve for the derivative of the given functions using the Chain Ruleformula. Let f(x) = √(x2 + 3x + 1). Find f′(x). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?arrow_forwardFind a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x)= e-x, a=0.11arrow_forwardCompute the derivatives of the given functions. a) f(x)=ln(7x5) f′(x)= ___ b) g(x)=ln(4√x, g′(x)= ____arrow_forward
- Find the linearization of the function f(x)=ln(2x+3) at x=-1arrow_forwardShows the derivative function of: u³ + 2u, where u = x² + 3arrow_forwardfind a linearization at a suitably chosen integernear a at which the given function and its derivative are easy to evaluate. ƒ(x) = x^-1, a = 0.9arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning