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d) f(a)= (2a-1)² 2a + 5a

d) f(a)= (2a-1)² 2a + 5a

Calculus: Early Transcendentals
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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Solve for question d and e.
C) 1. Find the derivative function for the following using the power rule: a) f(x) = x¹2 b) y = 8x³ - 2x + 12 c) h(k)= d) f(a) = 2-5k³ (2a-1)² 2a + 5a 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power rule. b) Find and fully factorise the derivative of y = (10x + 3)2 using expansion and the power rule. Show that the derivative function of f(x) = (9x - 2)² is f'(x) = 18(9x - 2). e We using we allow ts to b ch our in erval bec s Velocity is is the find the inciples. nction nction
Transcribed Image Text:C) 1. Find the derivative function for the following using the power rule: a) f(x) = x¹2 b) y = 8x³ - 2x + 12 c) h(k)= d) f(a) = 2-5k³ (2a-1)² 2a + 5a 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power rule. b) Find and fully factorise the derivative of y = (10x + 3)2 using expansion and the power rule. Show that the derivative function of f(x) = (9x - 2)² is f'(x) = 18(9x - 2). e We using we allow ts to b ch our in erval bec s Velocity is is the find the inciples. nction nction
SCHOLAF SCHOLAR Hence form a conjecture for the derivative of functions in the form y = (ax + b)². e) Prove your conjecture algebraically.
Transcribed Image Text:SCHOLAF SCHOLAR Hence form a conjecture for the derivative of functions in the form y = (ax + b)². e) Prove your conjecture algebraically.
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