(a) The equation of a curve is y = x³ + x2 -8x + 7. (i) Find dy d'y and dx dx2 (ii) Determine all stationary points and their nature. (b) Differentiate: y = 3x2 - x.

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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Answer question 8
8. (a) The equation of a curve is y = x + x2-8x +7.
dy
d'y
(i) Find
and
dx
dx2
(ii) Determine all stationary points and their nature.
(b) Differentiate: y = 3x2- x.
Transcribed Image Text:8. (a) The equation of a curve is y = x + x2-8x +7. dy d'y (i) Find and dx dx2 (ii) Determine all stationary points and their nature. (b) Differentiate: y = 3x2- x.
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