I. Consider the function f(x) 4/x2. a) Find the domain of f(x). b) Find f'() using the limit definition of the derivative. c) Where is f(x) differentiable? 2. Find all horizontal and vertical asymptotes of the following functions. Be sure to label the asymptotes correctly a) ()33z-1 2 (b) g(x) = tan-1 (2) c) h(x)-T2-92-112-3 --12 1 3. Evaluate the following limits. 2-2x-3 b) lim,ーナー0。6a3+2+16 c) lim,--0 f(x) , where f(x)-(2 x = 0 0 sin(x) V2+1+3c d) limx-W--5x . Find an equation of the tangent line to the function f(x) = Va2+16 at the point (3,5). (You N

# I. Consider the function f(x) 4/x2. a) Find the domain of f(x). b) Find f'() using the limit definition of the derivative. c) Where is f(x) differentiable? 2. Find all horizontal and vertical asymptotes of the following functions. Be sure to label the asymptotes correctly a) ()33z-1 2 (b) g(x) = tan-1 (2) c) h(x)-T2-92-112-3 --12 1 3. Evaluate the following limits. 2-2x-3 b) lim,ーナー0。6a3+2+16 c) lim,--0 f(x) , where f(x)-(2 x = 0 0 sin(x) V2+1+3c d) limx-W--5x . Find an equation of the tangent line to the function f(x) = Va2+16 at the point (3,5). (You N

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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