Use the function below to answer parts (a)-(c). f(x) = x? + 1 (a) Use the formal definition to find the derivative of y = f(x) at x = 2. (b) Find f(2) and find the equation of the tangent line at the point (2, f(2)). (c) Graph y = f(x) and the tangent line at the point (2, f(2) in the same coordinate system. (a) The derivative of a function f at x, denoted by f'(x), is f'(x) = lim - h-0 provided that the limit exists. Use the definition of the derivative of f at x to find the h derivative of the given function f(x) when x= 2. ] - [2}² + 1] f'(2) = lim h h-0 Evaluate the limit expression to find f'(2). f'(2) =(Type an integer or a fraction.) %3D (b) f(2) = (Type an integer or a fraction.) The equation of the tangent line at (2, f(2)) is| |. (Type your answer in slope-intercept form.)
Use the function below to answer parts (a)-(c). f(x) = x? + 1 (a) Use the formal definition to find the derivative of y = f(x) at x = 2. (b) Find f(2) and find the equation of the tangent line at the point (2, f(2)). (c) Graph y = f(x) and the tangent line at the point (2, f(2) in the same coordinate system. (a) The derivative of a function f at x, denoted by f'(x), is f'(x) = lim - h-0 provided that the limit exists. Use the definition of the derivative of f at x to find the h derivative of the given function f(x) when x= 2. ] - [2}² + 1] f'(2) = lim h h-0 Evaluate the limit expression to find f'(2). f'(2) =(Type an integer or a fraction.) %3D (b) f(2) = (Type an integer or a fraction.) The equation of the tangent line at (2, f(2)) is| |. (Type your answer in slope-intercept form.)
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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