3 If f(x) = 2(x - 3)°, evaluate f'(2). 4 The curve y= Vx-3 has a tangent with gradient at point N. Find the coordinates of N. 5 For what values of x does the function f(x) 1 have f'(x) = 4x-1 49

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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Ch 6 Introdue..df(Encrypted)
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2 Find the gradient of the tangent to the curve y = (3.x – 2)' at the point (1, 1).
3 If f(x) = 2(x – 3)°, evaluate f'(2).
1
4 The curve y = Vx -3 has a tangent with gradient at point N.
2
Find the coordinates of N.
4
1
5 For what values of x does the function f(x) =
have f'(x) = -?
49
4x - 1
6 Find the equation of the tangent to y = (2x + 1)* at the point where x -1.
7 Find the equation of the tangent to the curve y = (2x – 1)° at the point where x = 1.
8 Find the equation of the normal to the curve y (3x – 4)' at (1, -1).
9 Find the equation of the normal to the curve y = (x + 1)* at (1, 16).
1
at the
10 Find the equation of a the tangent andb the normal to the curve f(x) =
point where x =-1.
2x +3
H BB
Transcribed Image Text:Edit View Insert Annotation Workspace Window Help 100% Ch 6 Introdue..df(Encrypted) Home Insert Comment Edit Page Protect Tools Q Click to sea 150.99% Q Q 306 (39/54) Word 回ロ口QO D One Page DD Two Pages Continuous Reading PDF to Photo Rotate Background Full Screen Play Slide 2 Find the gradient of the tangent to the curve y = (3.x – 2)' at the point (1, 1). 3 If f(x) = 2(x – 3)°, evaluate f'(2). 1 4 The curve y = Vx -3 has a tangent with gradient at point N. 2 Find the coordinates of N. 4 1 5 For what values of x does the function f(x) = have f'(x) = -? 49 4x - 1 6 Find the equation of the tangent to y = (2x + 1)* at the point where x -1. 7 Find the equation of the tangent to the curve y = (2x – 1)° at the point where x = 1. 8 Find the equation of the normal to the curve y (3x – 4)' at (1, -1). 9 Find the equation of the normal to the curve y = (x + 1)* at (1, 16). 1 at the 10 Find the equation of a the tangent andb the normal to the curve f(x) = point where x =-1. 2x +3 H BB
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