Consider f(x) = 2\sqrt(x) a) Find f '(x) using the 4 step process ( f(x + h) - f(x)/h) where h is approaching zero. b) Find the slope of the line tangent to the curve at x = 4.

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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1. Consider f(x) = 2\sqrt(x)

a) Find f '(x) using the 4 step process ( f(x + h) - f(x)/h) where h is approaching zero.

b) Find the slope of the line tangent to the curve at x = 4.

 

2. Consider f(x) =3x^2 - 3x

a) Find f '(x) using the 4 step process (f(x + h) - f(x)/h) where h is approaching zero.

b) Find the slope of the line tangent to the curve at x = 2.

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the previous first question is an error. the square root x is supposed to be next to the two not divided. 2 square root of x 

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