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Chapter 2 Solutions
Calculus (MindTap Course List)
- 1. How do you find the linearization of f(x) at x = a? Illustrate with a concrete examplearrow_forwardFind the linearization of the function f(x)=ln(2x+3) at x=-1arrow_forwardA reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a reflectionin the y-axis of the graph of y = f(x) is represented by h(x) = ________.arrow_forward
- Find the linearization L(x) of the function at a. f(x)=lnx a=1 L(x)=arrow_forwardUse Chain Rule to find f''(2) where f(x)=e^x^4+x^2-12 and y=f(x).arrow_forwardFind the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the linearization to estimate the value of f(2.1).arrow_forward
- Find the absolute maximum and absolute minimum of f(x)=e^(−2x) over the interval [−1,3].arrow_forwardTwo equivalent forms of the Chain Rule for calculating the de-rivative of y = f(g(x)) are presented in this section. State bothforms.arrow_forwardLim as h approaches 0=[5e^x - 5e^(x+h)]/[3h]=arrow_forward
- Find the absolute minimum and absolute maximum of f(x) = ln(x2+10x+16) over the interval [0,4]arrow_forwardFind the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x + 13), [−3, 1]arrow_forwardFind the linearization L(x) of the function at a. f(x) = x3 − x2 + 9, a = −2 L(x) = ?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage