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4 f(x) A The diagram above shows a sketch of the function f(x). Its derivative is f'(x) = – 12 (x – 2) e (*-2. The curve passes through the point A 1, Differentiate y = e (*-2". Hence find the equation of the curve. Find the coordinates of the stationary point on the curve. a d Find the x-coordinate of the point where the tangent at the point A cuts the x-axis.

4 f(x) A The diagram above shows a sketch of the function f(x). Its derivative is f'(x) = – 12 (x – 2) e (*-2. The curve passes through the point A 1, Differentiate y = e (*-2". Hence find the equation of the curve. Find the coordinates of the stationary point on the curve. a d Find the x-coordinate of the point where the tangent at the point A cuts the x-axis.

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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4 f(x) A The diagram above shows a sketch of the function f(x). Its derivative is f'(x) = - 12 (x – 2) e (*-2". The curve passes through the point A 1, (1). Differentiate y = e (*-2". Hence find the equation of the curve. Find the coordinates of the stationary point on the curve. a b d Find the x-coordinate of the point where the tangent at the point A cuts the x-axis.
Transcribed Image Text:4 f(x) A The diagram above shows a sketch of the function f(x). Its derivative is f'(x) = - 12 (x – 2) e (*-2". The curve passes through the point A 1, (1). Differentiate y = e (*-2". Hence find the equation of the curve. Find the coordinates of the stationary point on the curve. a b d Find the x-coordinate of the point where the tangent at the point A cuts the x-axis.
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